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Finding the Fourth Proportional to 9,240.38, 12,752.25 and 5,703.65

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Solution

The fourth proportional to 9,240.38, 12,752.25 and 5,703.65 is: 7,871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.38 : 12,752.25 = 5,703.65 : x
  2. Step 2: Convert to fraction form
    9,240.38/12,752.25 = 5,703.65/x
  3. Step 3: Cross multiply
    9,240.38x = 12,752.25 × 5,703.65
  4. Step 4: Simplify right side
    9,240.38x = 72,734,365.47
  5. Step 5: Solve for x
    x = 72,734,365.47/9,240.38
  6. Step 6: Final answer
    x = 7,871.36

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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.