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Finding the Fourth Proportional to 6,446.48, 9,671.16 and 2,342.48

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Solution

The fourth proportional to 6,446.48, 9,671.16 and 2,342.48 is: 3,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.48 : 9,671.16 = 2,342.48 : x
  2. Step 2: Convert to fraction form
    6,446.48/9,671.16 = 2,342.48/x
  3. Step 3: Cross multiply
    6,446.48x = 9,671.16 × 2,342.48
  4. Step 4: Simplify right side
    6,446.48x = 22,654,498.88
  5. Step 5: Solve for x
    x = 22,654,498.88/6,446.48
  6. Step 6: Final answer
    x = 3,514.24

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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.