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Finding the Fourth Proportional to 6,312.78, 9,463.13 and 2,362.97

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Solution

The fourth proportional to 6,312.78, 9,463.13 and 2,362.97 is: 3,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.78 : 9,463.13 = 2,362.97 : x
  2. Step 2: Convert to fraction form
    6,312.78/9,463.13 = 2,362.97/x
  3. Step 3: Cross multiply
    6,312.78x = 9,463.13 × 2,362.97
  4. Step 4: Simplify right side
    6,312.78x = 22,361,033.17
  5. Step 5: Solve for x
    x = 22,361,033.17/6,312.78
  6. Step 6: Final answer
    x = 3,542.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.