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Finding the Fourth Proportional to 9,337.28, 12,884.65 and 5,358.31

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Solution

The fourth proportional to 9,337.28, 12,884.65 and 5,358.31 is: 7,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.28 : 12,884.65 = 5,358.31 : x
  2. Step 2: Convert to fraction form
    9,337.28/12,884.65 = 5,358.31/x
  3. Step 3: Cross multiply
    9,337.28x = 12,884.65 × 5,358.31
  4. Step 4: Simplify right side
    9,337.28x = 69,039,871.12
  5. Step 5: Solve for x
    x = 69,039,871.12/9,337.28
  6. Step 6: Final answer
    x = 7,394.00

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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.