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Finding the Fourth Proportional to 9,099.56, 13,645.08 and 6,327.60

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Solution

The fourth proportional to 9,099.56, 13,645.08 and 6,327.60 is: 9,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.56 : 13,645.08 = 6,327.60 : x
  2. Step 2: Convert to fraction form
    9,099.56/13,645.08 = 6,327.60/x
  3. Step 3: Cross multiply
    9,099.56x = 13,645.08 × 6,327.60
  4. Step 4: Simplify right side
    9,099.56x = 86,340,608.21
  5. Step 5: Solve for x
    x = 86,340,608.21/9,099.56
  6. Step 6: Final answer
    x = 9,488.44

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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.