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Finding the Fourth Proportional to 9,265.17, 12,785.94 and 5,073.42

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Solution

The fourth proportional to 9,265.17, 12,785.94 and 5,073.42 is: 7,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.17 : 12,785.94 = 5,073.42 : x
  2. Step 2: Convert to fraction form
    9,265.17/12,785.94 = 5,073.42/x
  3. Step 3: Cross multiply
    9,265.17x = 12,785.94 × 5,073.42
  4. Step 4: Simplify right side
    9,265.17x = 64,868,443.71
  5. Step 5: Solve for x
    x = 64,868,443.71/9,265.17
  6. Step 6: Final answer
    x = 7,001.32

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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.