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Finding the Fourth Proportional to 9,194.60, 13,797.60 and 4,815.20

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Solution

The fourth proportional to 9,194.60, 13,797.60 and 4,815.20 is: 7,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.60 : 13,797.60 = 4,815.20 : x
  2. Step 2: Convert to fraction form
    9,194.60/13,797.60 = 4,815.20/x
  3. Step 3: Cross multiply
    9,194.60x = 13,797.60 × 4,815.20
  4. Step 4: Simplify right side
    9,194.60x = 66,438,203.52
  5. Step 5: Solve for x
    x = 66,438,203.52/9,194.60
  6. Step 6: Final answer
    x = 7,225.79

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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.