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Finding the Fourth Proportional to 6,199.20, 9,309.21 and 3,864.66

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Solution

The fourth proportional to 6,199.20, 9,309.21 and 3,864.66 is: 5,803.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.20 : 9,309.21 = 3,864.66 : x
  2. Step 2: Convert to fraction form
    6,199.20/9,309.21 = 3,864.66/x
  3. Step 3: Cross multiply
    6,199.20x = 9,309.21 × 3,864.66
  4. Step 4: Simplify right side
    6,199.20x = 35,976,931.52
  5. Step 5: Solve for x
    x = 35,976,931.52/6,199.20
  6. Step 6: Final answer
    x = 5,803.48

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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.