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Finding the Fourth Proportional to 6,857.96, 9,463.98 and 3,714.15

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Solution

The fourth proportional to 6,857.96, 9,463.98 and 3,714.15 is: 5,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.96 : 9,463.98 = 3,714.15 : x
  2. Step 2: Convert to fraction form
    6,857.96/9,463.98 = 3,714.15/x
  3. Step 3: Cross multiply
    6,857.96x = 9,463.98 × 3,714.15
  4. Step 4: Simplify right side
    6,857.96x = 35,150,641.32
  5. Step 5: Solve for x
    x = 35,150,641.32/6,857.96
  6. Step 6: Final answer
    x = 5,125.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.