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Finding the Fourth Proportional to 9,175.38, 13,758.46 and 4,488.31

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Solution

The fourth proportional to 9,175.38, 13,758.46 and 4,488.31 is: 6,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.38 : 13,758.46 = 4,488.31 : x
  2. Step 2: Convert to fraction form
    9,175.38/13,758.46 = 4,488.31/x
  3. Step 3: Cross multiply
    9,175.38x = 13,758.46 × 4,488.31
  4. Step 4: Simplify right side
    9,175.38x = 61,752,239.58
  5. Step 5: Solve for x
    x = 61,752,239.58/9,175.38
  6. Step 6: Final answer
    x = 6,730.21

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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.