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Finding the Fourth Proportional to 9,322.78, 12,865.49 and 5,073.87

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Solution

The fourth proportional to 9,322.78, 12,865.49 and 5,073.87 is: 7,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.78 : 12,865.49 = 5,073.87 : x
  2. Step 2: Convert to fraction form
    9,322.78/12,865.49 = 5,073.87/x
  3. Step 3: Cross multiply
    9,322.78x = 12,865.49 × 5,073.87
  4. Step 4: Simplify right side
    9,322.78x = 65,277,823.75
  5. Step 5: Solve for x
    x = 65,277,823.75/9,322.78
  6. Step 6: Final answer
    x = 7,001.97

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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.