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Finding the Fourth Proportional to 9,862.53, 14,790.59 and 3,287.18

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Solution

The fourth proportional to 9,862.53, 14,790.59 and 3,287.18 is: 4,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.53 : 14,790.59 = 3,287.18 : x
  2. Step 2: Convert to fraction form
    9,862.53/14,790.59 = 3,287.18/x
  3. Step 3: Cross multiply
    9,862.53x = 14,790.59 × 3,287.18
  4. Step 4: Simplify right side
    9,862.53x = 48,619,331.64
  5. Step 5: Solve for x
    x = 48,619,331.64/9,862.53
  6. Step 6: Final answer
    x = 4,929.70

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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.