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Finding the Fourth Proportional to 6,102.30, 9,139.05 and 4,143.90

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Solution

The fourth proportional to 6,102.30, 9,139.05 and 4,143.90 is: 6,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.30 : 9,139.05 = 4,143.90 : x
  2. Step 2: Convert to fraction form
    6,102.30/9,139.05 = 4,143.90/x
  3. Step 3: Cross multiply
    6,102.30x = 9,139.05 × 4,143.90
  4. Step 4: Simplify right side
    6,102.30x = 37,871,309.30
  5. Step 5: Solve for x
    x = 37,871,309.30/6,102.30
  6. Step 6: Final answer
    x = 6,206.07

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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.