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Finding the Fourth Proportional to 9,081.46, 12,514.53 and 5,932.18

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Solution

The fourth proportional to 9,081.46, 12,514.53 and 5,932.18 is: 8,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081.46 : 12,514.53 = 5,932.18 : x
  2. Step 2: Convert to fraction form
    9,081.46/12,514.53 = 5,932.18/x
  3. Step 3: Cross multiply
    9,081.46x = 12,514.53 × 5,932.18
  4. Step 4: Simplify right side
    9,081.46x = 74,238,444.58
  5. Step 5: Solve for x
    x = 74,238,444.58/9,081.46
  6. Step 6: Final answer
    x = 8,174.73

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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.