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Finding the Fourth Proportional to 9,187.90, 13,770.91 and 6,399.48

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Solution

The fourth proportional to 9,187.90, 13,770.91 and 6,399.48 is: 9,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.90 : 13,770.91 = 6,399.48 : x
  2. Step 2: Convert to fraction form
    9,187.90/13,770.91 = 6,399.48/x
  3. Step 3: Cross multiply
    9,187.90x = 13,770.91 × 6,399.48
  4. Step 4: Simplify right side
    9,187.90x = 88,126,663.13
  5. Step 5: Solve for x
    x = 88,126,663.13/9,187.90
  6. Step 6: Final answer
    x = 9,591.60

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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.