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Finding the Fourth Proportional to 9,189.48, 13,773.28 and 6,401.06

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Solution

The fourth proportional to 9,189.48, 13,773.28 and 6,401.06 is: 9,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.48 : 13,773.28 = 6,401.06 : x
  2. Step 2: Convert to fraction form
    9,189.48/13,773.28 = 6,401.06/x
  3. Step 3: Cross multiply
    9,189.48x = 13,773.28 × 6,401.06
  4. Step 4: Simplify right side
    9,189.48x = 88,163,591.68
  5. Step 5: Solve for x
    x = 88,163,591.68/9,189.48
  6. Step 6: Final answer
    x = 9,593.97

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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.