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Finding the Fourth Proportional to 6,314.11, 9,472.53 and 2,418.52

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Solution

The fourth proportional to 6,314.11, 9,472.53 and 2,418.52 is: 3,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.11 : 9,472.53 = 2,418.52 : x
  2. Step 2: Convert to fraction form
    6,314.11/9,472.53 = 2,418.52/x
  3. Step 3: Cross multiply
    6,314.11x = 9,472.53 × 2,418.52
  4. Step 4: Simplify right side
    6,314.11x = 22,909,503.26
  5. Step 5: Solve for x
    x = 22,909,503.26/6,314.11
  6. Step 6: Final answer
    x = 3,628.30

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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.