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Finding the Fourth Proportional to 10,641.30, 15,924.15 and 9,269.70

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Solution

The fourth proportional to 10,641.30, 15,924.15 and 9,269.70 is: 13,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.30 : 15,924.15 = 9,269.70 : x
  2. Step 2: Convert to fraction form
    10,641.30/15,924.15 = 9,269.70/x
  3. Step 3: Cross multiply
    10,641.30x = 15,924.15 × 9,269.70
  4. Step 4: Simplify right side
    10,641.30x = 147,612,093.26
  5. Step 5: Solve for x
    x = 147,612,093.26/10,641.30
  6. Step 6: Final answer
    x = 13,871.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.