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Finding the Fourth Proportional to 6,184.32, 9,268.40 and 5,402.44

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Solution

The fourth proportional to 6,184.32, 9,268.40 and 5,402.44 is: 8,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.32 : 9,268.40 = 5,402.44 : x
  2. Step 2: Convert to fraction form
    6,184.32/9,268.40 = 5,402.44/x
  3. Step 3: Cross multiply
    6,184.32x = 9,268.40 × 5,402.44
  4. Step 4: Simplify right side
    6,184.32x = 50,071,974.90
  5. Step 5: Solve for x
    x = 50,071,974.90/6,184.32
  6. Step 6: Final answer
    x = 8,096.60

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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.