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Finding the Fourth Proportional to 11,385.41, 15,709.19 and 6,909.06

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Solution

The fourth proportional to 11,385.41, 15,709.19 and 6,909.06 is: 9,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.41 : 15,709.19 = 6,909.06 : x
  2. Step 2: Convert to fraction form
    11,385.41/15,709.19 = 6,909.06/x
  3. Step 3: Cross multiply
    11,385.41x = 15,709.19 × 6,909.06
  4. Step 4: Simplify right side
    11,385.41x = 108,535,753.53
  5. Step 5: Solve for x
    x = 108,535,753.53/11,385.41
  6. Step 6: Final answer
    x = 9,532.88

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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.