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Finding the Fourth Proportional to 6,314.31, 9,473.22 and 2,756.74

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Solution

The fourth proportional to 6,314.31, 9,473.22 and 2,756.74 is: 4,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.31 : 9,473.22 = 2,756.74 : x
  2. Step 2: Convert to fraction form
    6,314.31/9,473.22 = 2,756.74/x
  3. Step 3: Cross multiply
    6,314.31x = 9,473.22 × 2,756.74
  4. Step 4: Simplify right side
    6,314.31x = 26,115,143.35
  5. Step 5: Solve for x
    x = 26,115,143.35/6,314.31
  6. Step 6: Final answer
    x = 4,135.87

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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.