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Finding the Fourth Proportional to 6,474.83, 9,714.29 and 2,314.74

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Solution

The fourth proportional to 6,474.83, 9,714.29 and 2,314.74 is: 3,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.83 : 9,714.29 = 2,314.74 : x
  2. Step 2: Convert to fraction form
    6,474.83/9,714.29 = 2,314.74/x
  3. Step 3: Cross multiply
    6,474.83x = 9,714.29 × 2,314.74
  4. Step 4: Simplify right side
    6,474.83x = 22,486,055.63
  5. Step 5: Solve for x
    x = 22,486,055.63/6,474.83
  6. Step 6: Final answer
    x = 3,472.84

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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.