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Finding the Fourth Proportional to 6,246.18, 9,348.84 and 3,430.71

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Solution

The fourth proportional to 6,246.18, 9,348.84 and 3,430.71 is: 5,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.18 : 9,348.84 = 3,430.71 : x
  2. Step 2: Convert to fraction form
    6,246.18/9,348.84 = 3,430.71/x
  3. Step 3: Cross multiply
    6,246.18x = 9,348.84 × 3,430.71
  4. Step 4: Simplify right side
    6,246.18x = 32,073,158.88
  5. Step 5: Solve for x
    x = 32,073,158.88/6,246.18
  6. Step 6: Final answer
    x = 5,134.84

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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.