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Finding the Fourth Proportional to 9,915.99, 14,877.23 and 7,732.23

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Solution

The fourth proportional to 9,915.99, 14,877.23 and 7,732.23 is: 11,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.99 : 14,877.23 = 7,732.23 : x
  2. Step 2: Convert to fraction form
    9,915.99/14,877.23 = 7,732.23/x
  3. Step 3: Cross multiply
    9,915.99x = 14,877.23 × 7,732.23
  4. Step 4: Simplify right side
    9,915.99x = 115,034,125.46
  5. Step 5: Solve for x
    x = 115,034,125.46/9,915.99
  6. Step 6: Final answer
    x = 11,600.87

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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.