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Finding the Fourth Proportional to 6,658.62, 9,966.02 and 5,929.62

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Solution

The fourth proportional to 6,658.62, 9,966.02 and 5,929.62 is: 8,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.62 : 9,966.02 = 5,929.62 : x
  2. Step 2: Convert to fraction form
    6,658.62/9,966.02 = 5,929.62/x
  3. Step 3: Cross multiply
    6,658.62x = 9,966.02 × 5,929.62
  4. Step 4: Simplify right side
    6,658.62x = 59,094,711.51
  5. Step 5: Solve for x
    x = 59,094,711.51/6,658.62
  6. Step 6: Final answer
    x = 8,874.92

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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.