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Finding the Fourth Proportional to 6,348.12, 9,510.94 and 4,269.86

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Solution

The fourth proportional to 6,348.12, 9,510.94 and 4,269.86 is: 6,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.12 : 9,510.94 = 4,269.86 : x
  2. Step 2: Convert to fraction form
    6,348.12/9,510.94 = 4,269.86/x
  3. Step 3: Cross multiply
    6,348.12x = 9,510.94 × 4,269.86
  4. Step 4: Simplify right side
    6,348.12x = 40,610,351.70
  5. Step 5: Solve for x
    x = 40,610,351.70/6,348.12
  6. Step 6: Final answer
    x = 6,397.23

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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.