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Finding the Fourth Proportional to 6,311.60, 9,463.96 and 4,090.20

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Solution

The fourth proportional to 6,311.60, 9,463.96 and 4,090.20 is: 6,133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.60 : 9,463.96 = 4,090.20 : x
  2. Step 2: Convert to fraction form
    6,311.60/9,463.96 = 4,090.20/x
  3. Step 3: Cross multiply
    6,311.60x = 9,463.96 × 4,090.20
  4. Step 4: Simplify right side
    6,311.60x = 38,709,489.19
  5. Step 5: Solve for x
    x = 38,709,489.19/6,311.60
  6. Step 6: Final answer
    x = 6,133.07

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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.