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Finding the Fourth Proportional to 9,007.84, 12,424.57 and 6,175.47

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Solution

The fourth proportional to 9,007.84, 12,424.57 and 6,175.47 is: 8,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.84 : 12,424.57 = 6,175.47 : x
  2. Step 2: Convert to fraction form
    9,007.84/12,424.57 = 6,175.47/x
  3. Step 3: Cross multiply
    9,007.84x = 12,424.57 × 6,175.47
  4. Step 4: Simplify right side
    9,007.84x = 76,727,512.80
  5. Step 5: Solve for x
    x = 76,727,512.80/9,007.84
  6. Step 6: Final answer
    x = 8,517.86

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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.