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Finding the Fourth Proportional to 9,295.92, 13,925.70 and 6,166.62

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Solution

The fourth proportional to 9,295.92, 13,925.70 and 6,166.62 is: 9,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.92 : 13,925.70 = 6,166.62 : x
  2. Step 2: Convert to fraction form
    9,295.92/13,925.70 = 6,166.62/x
  3. Step 3: Cross multiply
    9,295.92x = 13,925.70 × 6,166.62
  4. Step 4: Simplify right side
    9,295.92x = 85,874,500.13
  5. Step 5: Solve for x
    x = 85,874,500.13/9,295.92
  6. Step 6: Final answer
    x = 9,237.87

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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.