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Finding the Fourth Proportional to 9,666.02, 14,500.08 and 5,915.96

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Solution

The fourth proportional to 9,666.02, 14,500.08 and 5,915.96 is: 8,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.02 : 14,500.08 = 5,915.96 : x
  2. Step 2: Convert to fraction form
    9,666.02/14,500.08 = 5,915.96/x
  3. Step 3: Cross multiply
    9,666.02x = 14,500.08 × 5,915.96
  4. Step 4: Simplify right side
    9,666.02x = 85,781,820.78
  5. Step 5: Solve for x
    x = 85,781,820.78/9,666.02
  6. Step 6: Final answer
    x = 8,874.58

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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.