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Finding the Fourth Proportional to 9,099.90, 13,647.56 and 6,459.66

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Solution

The fourth proportional to 9,099.90, 13,647.56 and 6,459.66 is: 9,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.90 : 13,647.56 = 6,459.66 : x
  2. Step 2: Convert to fraction form
    9,099.90/13,647.56 = 6,459.66/x
  3. Step 3: Cross multiply
    9,099.90x = 13,647.56 × 6,459.66
  4. Step 4: Simplify right side
    9,099.90x = 88,158,565.13
  5. Step 5: Solve for x
    x = 88,158,565.13/9,099.90
  6. Step 6: Final answer
    x = 9,687.86

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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.