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Finding the Fourth Proportional to 9,105.88, 13,660.62 and 4,175.68

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Solution

The fourth proportional to 9,105.88, 13,660.62 and 4,175.68 is: 6,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.88 : 13,660.62 = 4,175.68 : x
  2. Step 2: Convert to fraction form
    9,105.88/13,660.62 = 4,175.68/x
  3. Step 3: Cross multiply
    9,105.88x = 13,660.62 × 4,175.68
  4. Step 4: Simplify right side
    9,105.88x = 57,042,377.72
  5. Step 5: Solve for x
    x = 57,042,377.72/9,105.88
  6. Step 6: Final answer
    x = 6,264.35

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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.