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Finding the Fourth Proportional to 9,177.32, 13,761.32 and 3,910.30

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Solution

The fourth proportional to 9,177.32, 13,761.32 and 3,910.30 is: 5,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.32 : 13,761.32 = 3,910.30 : x
  2. Step 2: Convert to fraction form
    9,177.32/13,761.32 = 3,910.30/x
  3. Step 3: Cross multiply
    9,177.32x = 13,761.32 × 3,910.30
  4. Step 4: Simplify right side
    9,177.32x = 53,810,889.60
  5. Step 5: Solve for x
    x = 53,810,889.60/9,177.32
  6. Step 6: Final answer
    x = 5,863.46

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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.