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Finding the Fourth Proportional to 9,239.75, 12,750.92 and 5,048

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Solution

The fourth proportional to 9,239.75, 12,750.92 and 5,048 is: 6,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.75 : 12,750.92 = 5,048 : x
  2. Step 2: Convert to fraction form
    9,239.75/12,750.92 = 5,048/x
  3. Step 3: Cross multiply
    9,239.75x = 12,750.92 × 5,048
  4. Step 4: Simplify right side
    9,239.75x = 64,366,644.16
  5. Step 5: Solve for x
    x = 64,366,644.16/9,239.75
  6. Step 6: Final answer
    x = 6,966.28

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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.