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Finding the Fourth Proportional to 9,542.60, 14,314.06 and 2,617.16

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Solution

The fourth proportional to 9,542.60, 14,314.06 and 2,617.16 is: 3,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.60 : 14,314.06 = 2,617.16 : x
  2. Step 2: Convert to fraction form
    9,542.60/14,314.06 = 2,617.16/x
  3. Step 3: Cross multiply
    9,542.60x = 14,314.06 × 2,617.16
  4. Step 4: Simplify right side
    9,542.60x = 37,462,185.27
  5. Step 5: Solve for x
    x = 37,462,185.27/9,542.60
  6. Step 6: Final answer
    x = 3,925.78

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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.