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Finding the Fourth Proportional to 6,231.80, 9,347.70 and 4,117.70

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Solution

The fourth proportional to 6,231.80, 9,347.70 and 4,117.70 is: 6,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.80 : 9,347.70 = 4,117.70 : x
  2. Step 2: Convert to fraction form
    6,231.80/9,347.70 = 4,117.70/x
  3. Step 3: Cross multiply
    6,231.80x = 9,347.70 × 4,117.70
  4. Step 4: Simplify right side
    6,231.80x = 38,491,024.29
  5. Step 5: Solve for x
    x = 38,491,024.29/6,231.80
  6. Step 6: Final answer
    x = 6,176.55

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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.