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Finding the Fourth Proportional to 9,098.91, 13,649.73 and 3,254.15

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Solution

The fourth proportional to 9,098.91, 13,649.73 and 3,254.15 is: 4,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.91 : 13,649.73 = 3,254.15 : x
  2. Step 2: Convert to fraction form
    9,098.91/13,649.73 = 3,254.15/x
  3. Step 3: Cross multiply
    9,098.91x = 13,649.73 × 3,254.15
  4. Step 4: Simplify right side
    9,098.91x = 44,418,268.88
  5. Step 5: Solve for x
    x = 44,418,268.88/9,098.91
  6. Step 6: Final answer
    x = 4,881.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.