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Finding the Fourth Proportional to 10,269.72, 15,324.02 and 9,642.84

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Solution

The fourth proportional to 10,269.72, 15,324.02 and 9,642.84 is: 14,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.72 : 15,324.02 = 9,642.84 : x
  2. Step 2: Convert to fraction form
    10,269.72/15,324.02 = 9,642.84/x
  3. Step 3: Cross multiply
    10,269.72x = 15,324.02 × 9,642.84
  4. Step 4: Simplify right side
    10,269.72x = 147,767,073.02
  5. Step 5: Solve for x
    x = 147,767,073.02/10,269.72
  6. Step 6: Final answer
    x = 14,388.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.