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Finding the Fourth Proportional to 9,230.81, 12,740.59 and 6,042.26

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Solution

The fourth proportional to 9,230.81, 12,740.59 and 6,042.26 is: 8,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.81 : 12,740.59 = 6,042.26 : x
  2. Step 2: Convert to fraction form
    9,230.81/12,740.59 = 6,042.26/x
  3. Step 3: Cross multiply
    9,230.81x = 12,740.59 × 6,042.26
  4. Step 4: Simplify right side
    9,230.81x = 76,981,957.33
  5. Step 5: Solve for x
    x = 76,981,957.33/9,230.81
  6. Step 6: Final answer
    x = 8,339.68

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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.