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Finding the Fourth Proportional to 9,272.59, 13,908.74 and 2,252.66

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Solution

The fourth proportional to 9,272.59, 13,908.74 and 2,252.66 is: 3,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.59 : 13,908.74 = 2,252.66 : x
  2. Step 2: Convert to fraction form
    9,272.59/13,908.74 = 2,252.66/x
  3. Step 3: Cross multiply
    9,272.59x = 13,908.74 × 2,252.66
  4. Step 4: Simplify right side
    9,272.59x = 31,331,685.76
  5. Step 5: Solve for x
    x = 31,331,685.76/9,272.59
  6. Step 6: Final answer
    x = 3,378.96

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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.