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Finding the Fourth Proportional to 9,677.71, 13,359.32 and 6,538.15

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Solution

The fourth proportional to 9,677.71, 13,359.32 and 6,538.15 is: 9,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.71 : 13,359.32 = 6,538.15 : x
  2. Step 2: Convert to fraction form
    9,677.71/13,359.32 = 6,538.15/x
  3. Step 3: Cross multiply
    9,677.71x = 13,359.32 × 6,538.15
  4. Step 4: Simplify right side
    9,677.71x = 87,345,221.01
  5. Step 5: Solve for x
    x = 87,345,221.01/9,677.71
  6. Step 6: Final answer
    x = 9,025.40

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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.