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Finding the Fourth Proportional to 8,325.68, 12,494.60 and 6,140.30

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Solution

The fourth proportional to 8,325.68, 12,494.60 and 6,140.30 is: 9,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.68 : 12,494.60 = 6,140.30 : x
  2. Step 2: Convert to fraction form
    8,325.68/12,494.60 = 6,140.30/x
  3. Step 3: Cross multiply
    8,325.68x = 12,494.60 × 6,140.30
  4. Step 4: Simplify right side
    8,325.68x = 76,720,561.68
  5. Step 5: Solve for x
    x = 76,720,561.68/8,325.68
  6. Step 6: Final answer
    x = 9,214.93

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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.