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Finding the Fourth Proportional to 9,239.88, 12,751.38 and 5,048.16

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Solution

The fourth proportional to 9,239.88, 12,751.38 and 5,048.16 is: 6,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.88 : 12,751.38 = 5,048.16 : x
  2. Step 2: Convert to fraction form
    9,239.88/12,751.38 = 5,048.16/x
  3. Step 3: Cross multiply
    9,239.88x = 12,751.38 × 5,048.16
  4. Step 4: Simplify right side
    9,239.88x = 64,371,006.46
  5. Step 5: Solve for x
    x = 64,371,006.46/9,239.88
  6. Step 6: Final answer
    x = 6,966.65

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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.