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Finding the Fourth Proportional to 9,242.50, 12,754.66 and 5,516.50

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Solution

The fourth proportional to 9,242.50, 12,754.66 and 5,516.50 is: 7,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.50 : 12,754.66 = 5,516.50 : x
  2. Step 2: Convert to fraction form
    9,242.50/12,754.66 = 5,516.50/x
  3. Step 3: Cross multiply
    9,242.50x = 12,754.66 × 5,516.50
  4. Step 4: Simplify right side
    9,242.50x = 70,361,081.89
  5. Step 5: Solve for x
    x = 70,361,081.89/9,242.50
  6. Step 6: Final answer
    x = 7,612.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.