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Finding the Fourth Proportional to 6,327.40, 9,491.10 and 4,109.80

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Solution

The fourth proportional to 6,327.40, 9,491.10 and 4,109.80 is: 6,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.40 : 9,491.10 = 4,109.80 : x
  2. Step 2: Convert to fraction form
    6,327.40/9,491.10 = 4,109.80/x
  3. Step 3: Cross multiply
    6,327.40x = 9,491.10 × 4,109.80
  4. Step 4: Simplify right side
    6,327.40x = 39,006,522.78
  5. Step 5: Solve for x
    x = 39,006,522.78/6,327.40
  6. Step 6: Final answer
    x = 6,164.70

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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.