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Finding the Fourth Proportional to 34,962.35, 52,442.91 and 8,667

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Solution

The fourth proportional to 34,962.35, 52,442.91 and 8,667 is: 13,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,962.35 : 52,442.91 = 8,667 : x
  2. Step 2: Convert to fraction form
    34,962.35/52,442.91 = 8,667/x
  3. Step 3: Cross multiply
    34,962.35x = 52,442.91 × 8,667
  4. Step 4: Simplify right side
    34,962.35x = 454,522,700.97
  5. Step 5: Solve for x
    x = 454,522,700.97/34,962.35
  6. Step 6: Final answer
    x = 13,000.35

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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.