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Finding the Fourth Proportional to 6,314.10, 9,472.21 and 1,930.53

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Solution

The fourth proportional to 6,314.10, 9,472.21 and 1,930.53 is: 2,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.10 : 9,472.21 = 1,930.53 : x
  2. Step 2: Convert to fraction form
    6,314.10/9,472.21 = 1,930.53/x
  3. Step 3: Cross multiply
    6,314.10x = 9,472.21 × 1,930.53
  4. Step 4: Simplify right side
    6,314.10x = 18,286,385.57
  5. Step 5: Solve for x
    x = 18,286,385.57/6,314.10
  6. Step 6: Final answer
    x = 2,896.12

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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.