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Finding the Fourth Proportional to 9,001.39, 12,422.16 and 5,022.49

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Solution

The fourth proportional to 9,001.39, 12,422.16 and 5,022.49 is: 6,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.39 : 12,422.16 = 5,022.49 : x
  2. Step 2: Convert to fraction form
    9,001.39/12,422.16 = 5,022.49/x
  3. Step 3: Cross multiply
    9,001.39x = 12,422.16 × 5,022.49
  4. Step 4: Simplify right side
    9,001.39x = 62,390,174.38
  5. Step 5: Solve for x
    x = 62,390,174.38/9,001.39
  6. Step 6: Final answer
    x = 6,931.17

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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.