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Finding the Fourth Proportional to 9,442.92, 14,166.18 and 5,065.26

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Solution

The fourth proportional to 9,442.92, 14,166.18 and 5,065.26 is: 7,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.92 : 14,166.18 = 5,065.26 : x
  2. Step 2: Convert to fraction form
    9,442.92/14,166.18 = 5,065.26/x
  3. Step 3: Cross multiply
    9,442.92x = 14,166.18 × 5,065.26
  4. Step 4: Simplify right side
    9,442.92x = 71,755,384.91
  5. Step 5: Solve for x
    x = 71,755,384.91/9,442.92
  6. Step 6: Final answer
    x = 7,598.86

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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.