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Finding the Fourth Proportional to 10,209.13, 14,092.50 and 9,928.24

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Solution

The fourth proportional to 10,209.13, 14,092.50 and 9,928.24 is: 13,704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.13 : 14,092.50 = 9,928.24 : x
  2. Step 2: Convert to fraction form
    10,209.13/14,092.50 = 9,928.24/x
  3. Step 3: Cross multiply
    10,209.13x = 14,092.50 × 9,928.24
  4. Step 4: Simplify right side
    10,209.13x = 139,913,722.20
  5. Step 5: Solve for x
    x = 139,913,722.20/10,209.13
  6. Step 6: Final answer
    x = 13,704.76

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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.