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Finding the Fourth Proportional to 6,343.72, 9,514.50 and 2,448.16

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Solution

The fourth proportional to 6,343.72, 9,514.50 and 2,448.16 is: 3,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.72 : 9,514.50 = 2,448.16 : x
  2. Step 2: Convert to fraction form
    6,343.72/9,514.50 = 2,448.16/x
  3. Step 3: Cross multiply
    6,343.72x = 9,514.50 × 2,448.16
  4. Step 4: Simplify right side
    6,343.72x = 23,293,018.32
  5. Step 5: Solve for x
    x = 23,293,018.32/6,343.72
  6. Step 6: Final answer
    x = 3,671.82

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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.