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Finding the Fourth Proportional to 9,792.68, 14,691.56 and 4,244.74

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Solution

The fourth proportional to 9,792.68, 14,691.56 and 4,244.74 is: 6,368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.68 : 14,691.56 = 4,244.74 : x
  2. Step 2: Convert to fraction form
    9,792.68/14,691.56 = 4,244.74/x
  3. Step 3: Cross multiply
    9,792.68x = 14,691.56 × 4,244.74
  4. Step 4: Simplify right side
    9,792.68x = 62,361,794.44
  5. Step 5: Solve for x
    x = 62,361,794.44/9,792.68
  6. Step 6: Final answer
    x = 6,368.21

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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.