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Finding the Fourth Proportional to 9,484.68, 14,227.02 and 5,324.76

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Solution

The fourth proportional to 9,484.68, 14,227.02 and 5,324.76 is: 7,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.68 : 14,227.02 = 5,324.76 : x
  2. Step 2: Convert to fraction form
    9,484.68/14,227.02 = 5,324.76/x
  3. Step 3: Cross multiply
    9,484.68x = 14,227.02 × 5,324.76
  4. Step 4: Simplify right side
    9,484.68x = 75,755,467.02
  5. Step 5: Solve for x
    x = 75,755,467.02/9,484.68
  6. Step 6: Final answer
    x = 7,987.14

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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.