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Finding the Fourth Proportional to 9,658.40, 13,331.76 and 5,679.32

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Solution

The fourth proportional to 9,658.40, 13,331.76 and 5,679.32 is: 7,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.40 : 13,331.76 = 5,679.32 : x
  2. Step 2: Convert to fraction form
    9,658.40/13,331.76 = 5,679.32/x
  3. Step 3: Cross multiply
    9,658.40x = 13,331.76 × 5,679.32
  4. Step 4: Simplify right side
    9,658.40x = 75,715,331.20
  5. Step 5: Solve for x
    x = 75,715,331.20/9,658.40
  6. Step 6: Final answer
    x = 7,839.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.