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Finding the Fourth Proportional to 9,813.60, 13,542.40 and 5,337.20

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Solution

The fourth proportional to 9,813.60, 13,542.40 and 5,337.20 is: 7,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.60 : 13,542.40 = 5,337.20 : x
  2. Step 2: Convert to fraction form
    9,813.60/13,542.40 = 5,337.20/x
  3. Step 3: Cross multiply
    9,813.60x = 13,542.40 × 5,337.20
  4. Step 4: Simplify right side
    9,813.60x = 72,278,497.28
  5. Step 5: Solve for x
    x = 72,278,497.28/9,813.60
  6. Step 6: Final answer
    x = 7,365.14

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