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Finding the Fourth Proportional to 10,687.26, 14,742 and 6,909.12

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Solution

The fourth proportional to 10,687.26, 14,742 and 6,909.12 is: 9,530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.26 : 14,742 = 6,909.12 : x
  2. Step 2: Convert to fraction form
    10,687.26/14,742 = 6,909.12/x
  3. Step 3: Cross multiply
    10,687.26x = 14,742 × 6,909.12
  4. Step 4: Simplify right side
    10,687.26x = 101,854,247.04
  5. Step 5: Solve for x
    x = 101,854,247.04/10,687.26
  6. Step 6: Final answer
    x = 9,530.44

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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.