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Finding the Fourth Proportional to 6,158.60, 9,237.90 and 5,478.20

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Solution

The fourth proportional to 6,158.60, 9,237.90 and 5,478.20 is: 8,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.60 : 9,237.90 = 5,478.20 : x
  2. Step 2: Convert to fraction form
    6,158.60/9,237.90 = 5,478.20/x
  3. Step 3: Cross multiply
    6,158.60x = 9,237.90 × 5,478.20
  4. Step 4: Simplify right side
    6,158.60x = 50,607,063.78
  5. Step 5: Solve for x
    x = 50,607,063.78/6,158.60
  6. Step 6: Final answer
    x = 8,217.30

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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.