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Finding the Fourth Proportional to 9,291.33, 12,822.14 and 5,042.43

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Solution

The fourth proportional to 9,291.33, 12,822.14 and 5,042.43 is: 6,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.33 : 12,822.14 = 5,042.43 : x
  2. Step 2: Convert to fraction form
    9,291.33/12,822.14 = 5,042.43/x
  3. Step 3: Cross multiply
    9,291.33x = 12,822.14 × 5,042.43
  4. Step 4: Simplify right side
    9,291.33x = 64,654,747.60
  5. Step 5: Solve for x
    x = 64,654,747.60/9,291.33
  6. Step 6: Final answer
    x = 6,958.61

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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.