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Finding the Fourth Proportional to 9,175.16, 12,658.82 and 6,342.68

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Solution

The fourth proportional to 9,175.16, 12,658.82 and 6,342.68 is: 8,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.16 : 12,658.82 = 6,342.68 : x
  2. Step 2: Convert to fraction form
    9,175.16/12,658.82 = 6,342.68/x
  3. Step 3: Cross multiply
    9,175.16x = 12,658.82 × 6,342.68
  4. Step 4: Simplify right side
    9,175.16x = 80,290,844.37
  5. Step 5: Solve for x
    x = 80,290,844.37/9,175.16
  6. Step 6: Final answer
    x = 8,750.89

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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.