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Finding the Fourth Proportional to 6,328.81, 9,494.56 and 2,167.70

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Solution

The fourth proportional to 6,328.81, 9,494.56 and 2,167.70 is: 3,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.81 : 9,494.56 = 2,167.70 : x
  2. Step 2: Convert to fraction form
    6,328.81/9,494.56 = 2,167.70/x
  3. Step 3: Cross multiply
    6,328.81x = 9,494.56 × 2,167.70
  4. Step 4: Simplify right side
    6,328.81x = 20,581,337.18
  5. Step 5: Solve for x
    x = 20,581,337.18/6,328.81
  6. Step 6: Final answer
    x = 3,252.01

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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.