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Finding the Fourth Proportional to 6,342.52, 9,514.62 and 2,448.04

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Solution

The fourth proportional to 6,342.52, 9,514.62 and 2,448.04 is: 3,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.52 : 9,514.62 = 2,448.04 : x
  2. Step 2: Convert to fraction form
    6,342.52/9,514.62 = 2,448.04/x
  3. Step 3: Cross multiply
    6,342.52x = 9,514.62 × 2,448.04
  4. Step 4: Simplify right side
    6,342.52x = 23,292,170.34
  5. Step 5: Solve for x
    x = 23,292,170.34/6,342.52
  6. Step 6: Final answer
    x = 3,672.38

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