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Finding the Fourth Proportional to 9,294.09, 12,824.99 and 5,516.61

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Solution

The fourth proportional to 9,294.09, 12,824.99 and 5,516.61 is: 7,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.09 : 12,824.99 = 5,516.61 : x
  2. Step 2: Convert to fraction form
    9,294.09/12,824.99 = 5,516.61/x
  3. Step 3: Cross multiply
    9,294.09x = 12,824.99 × 5,516.61
  4. Step 4: Simplify right side
    9,294.09x = 70,750,376.38
  5. Step 5: Solve for x
    x = 70,750,376.38/9,294.09
  6. Step 6: Final answer
    x = 7,612.41

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Why These Related Problems?

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