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Finding the Fourth Proportional to 6,147.84, 9,218.50 and 2,683.20

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Solution

The fourth proportional to 6,147.84, 9,218.50 and 2,683.20 is: 4,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.84 : 9,218.50 = 2,683.20 : x
  2. Step 2: Convert to fraction form
    6,147.84/9,218.50 = 2,683.20/x
  3. Step 3: Cross multiply
    6,147.84x = 9,218.50 × 2,683.20
  4. Step 4: Simplify right side
    6,147.84x = 24,735,079.20
  5. Step 5: Solve for x
    x = 24,735,079.20/6,147.84
  6. Step 6: Final answer
    x = 4,023.38

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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.