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Finding the Fourth Proportional to 9,042.93, 12,470.91 and 6,205.29

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Solution

The fourth proportional to 9,042.93, 12,470.91 and 6,205.29 is: 8,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.93 : 12,470.91 = 6,205.29 : x
  2. Step 2: Convert to fraction form
    9,042.93/12,470.91 = 6,205.29/x
  3. Step 3: Cross multiply
    9,042.93x = 12,470.91 × 6,205.29
  4. Step 4: Simplify right side
    9,042.93x = 77,385,613.11
  5. Step 5: Solve for x
    x = 77,385,613.11/9,042.93
  6. Step 6: Final answer
    x = 8,557.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.