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Finding the Fourth Proportional to 9,843.02, 14,767.52 and 3,517.07

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Solution

The fourth proportional to 9,843.02, 14,767.52 and 3,517.07 is: 5,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.02 : 14,767.52 = 3,517.07 : x
  2. Step 2: Convert to fraction form
    9,843.02/14,767.52 = 3,517.07/x
  3. Step 3: Cross multiply
    9,843.02x = 14,767.52 × 3,517.07
  4. Step 4: Simplify right side
    9,843.02x = 51,938,461.78
  5. Step 5: Solve for x
    x = 51,938,461.78/9,843.02
  6. Step 6: Final answer
    x = 5,276.68

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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.