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Finding the Fourth Proportional to 9,074.88, 12,514.64 and 5,489.15

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Solution

The fourth proportional to 9,074.88, 12,514.64 and 5,489.15 is: 7,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.88 : 12,514.64 = 5,489.15 : x
  2. Step 2: Convert to fraction form
    9,074.88/12,514.64 = 5,489.15/x
  3. Step 3: Cross multiply
    9,074.88x = 12,514.64 × 5,489.15
  4. Step 4: Simplify right side
    9,074.88x = 68,694,646.14
  5. Step 5: Solve for x
    x = 68,694,646.14/9,074.88
  6. Step 6: Final answer
    x = 7,569.76

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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.