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Finding the Fourth Proportional to 9,764,133.60, 14,632,203.60 and 7,185,223.20

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Solution

The fourth proportional to 9,764,133.60, 14,632,203.60 and 7,185,223.20 is: 10,767,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764,133.60 : 14,632,203.60 = 7,185,223.20 : x
  2. Step 2: Convert to fraction form
    9,764,133.60/14,632,203.60 = 7,185,223.20/x
  3. Step 3: Cross multiply
    9,764,133.60x = 14,632,203.60 × 7,185,223.20
  4. Step 4: Simplify right side
    9,764,133.60x = 105,135,648,773,843.52
  5. Step 5: Solve for x
    x = 105,135,648,773,843.52/9,764,133.60
  6. Step 6: Final answer
    x = 10,767,534.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.