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Finding the Fourth Proportional to 9,792.60, 14,680.53 and 3,217.02

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Solution

The fourth proportional to 9,792.60, 14,680.53 and 3,217.02 is: 4,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.60 : 14,680.53 = 3,217.02 : x
  2. Step 2: Convert to fraction form
    9,792.60/14,680.53 = 3,217.02/x
  3. Step 3: Cross multiply
    9,792.60x = 14,680.53 × 3,217.02
  4. Step 4: Simplify right side
    9,792.60x = 47,227,558.62
  5. Step 5: Solve for x
    x = 47,227,558.62/9,792.60
  6. Step 6: Final answer
    x = 4,822.78

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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.