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Finding the Fourth Proportional to 9,042.18, 13,565.70 and 8,174.66

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Solution

The fourth proportional to 9,042.18, 13,565.70 and 8,174.66 is: 12,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.18 : 13,565.70 = 8,174.66 : x
  2. Step 2: Convert to fraction form
    9,042.18/13,565.70 = 8,174.66/x
  3. Step 3: Cross multiply
    9,042.18x = 13,565.70 × 8,174.66
  4. Step 4: Simplify right side
    9,042.18x = 110,894,985.16
  5. Step 5: Solve for x
    x = 110,894,985.16/9,042.18
  6. Step 6: Final answer
    x = 12,264.19

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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.