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Finding the Fourth Proportional to 9,100.98, 13,631.67 and 5,580.33

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Solution

The fourth proportional to 9,100.98, 13,631.67 and 5,580.33 is: 8,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.98 : 13,631.67 = 5,580.33 : x
  2. Step 2: Convert to fraction form
    9,100.98/13,631.67 = 5,580.33/x
  3. Step 3: Cross multiply
    9,100.98x = 13,631.67 × 5,580.33
  4. Step 4: Simplify right side
    9,100.98x = 76,069,217.05
  5. Step 5: Solve for x
    x = 76,069,217.05/9,100.98
  6. Step 6: Final answer
    x = 8,358.35

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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.