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Finding the Fourth Proportional to 9,234.54, 12,743.78 and 5,042.79

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Solution

The fourth proportional to 9,234.54, 12,743.78 and 5,042.79 is: 6,959.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.54 : 12,743.78 = 5,042.79 : x
  2. Step 2: Convert to fraction form
    9,234.54/12,743.78 = 5,042.79/x
  3. Step 3: Cross multiply
    9,234.54x = 12,743.78 × 5,042.79
  4. Step 4: Simplify right side
    9,234.54x = 64,264,181.13
  5. Step 5: Solve for x
    x = 64,264,181.13/9,234.54
  6. Step 6: Final answer
    x = 6,959.11

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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.