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Finding the Fourth Proportional to 9,098.88, 13,649.54 and 3,176.97

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Solution

The fourth proportional to 9,098.88, 13,649.54 and 3,176.97 is: 4,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.88 : 13,649.54 = 3,176.97 : x
  2. Step 2: Convert to fraction form
    9,098.88/13,649.54 = 3,176.97/x
  3. Step 3: Cross multiply
    9,098.88x = 13,649.54 × 3,176.97
  4. Step 4: Simplify right side
    9,098.88x = 43,364,163.21
  5. Step 5: Solve for x
    x = 43,364,163.21/9,098.88
  6. Step 6: Final answer
    x = 4,765.88

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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.