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Finding the Fourth Proportional to 9,528.90, 13,150.02 and 5,337.18

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Solution

The fourth proportional to 9,528.90, 13,150.02 and 5,337.18 is: 7,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.90 : 13,150.02 = 5,337.18 : x
  2. Step 2: Convert to fraction form
    9,528.90/13,150.02 = 5,337.18/x
  3. Step 3: Cross multiply
    9,528.90x = 13,150.02 × 5,337.18
  4. Step 4: Simplify right side
    9,528.90x = 70,184,023.74
  5. Step 5: Solve for x
    x = 70,184,023.74/9,528.90
  6. Step 6: Final answer
    x = 7,365.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.