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Finding the Fourth Proportional to 9,291.59, 12,821.92 and 5,514.91

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Solution

The fourth proportional to 9,291.59, 12,821.92 and 5,514.91 is: 7,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.59 : 12,821.92 = 5,514.91 : x
  2. Step 2: Convert to fraction form
    9,291.59/12,821.92 = 5,514.91/x
  3. Step 3: Cross multiply
    9,291.59x = 12,821.92 × 5,514.91
  4. Step 4: Simplify right side
    9,291.59x = 70,711,734.83
  5. Step 5: Solve for x
    x = 70,711,734.83/9,291.59
  6. Step 6: Final answer
    x = 7,610.29

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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.