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Finding the Fourth Proportional to 6,314.59, 8,714.16 and 3,663.56

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Solution

The fourth proportional to 6,314.59, 8,714.16 and 3,663.56 is: 5,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.59 : 8,714.16 = 3,663.56 : x
  2. Step 2: Convert to fraction form
    6,314.59/8,714.16 = 3,663.56/x
  3. Step 3: Cross multiply
    6,314.59x = 8,714.16 × 3,663.56
  4. Step 4: Simplify right side
    6,314.59x = 31,924,848.01
  5. Step 5: Solve for x
    x = 31,924,848.01/6,314.59
  6. Step 6: Final answer
    x = 5,055.73

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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.