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Finding the Fourth Proportional to 6,199.19, 9,298.66 and 1,816.55

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Solution

The fourth proportional to 6,199.19, 9,298.66 and 1,816.55 is: 2,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.19 : 9,298.66 = 1,816.55 : x
  2. Step 2: Convert to fraction form
    6,199.19/9,298.66 = 1,816.55/x
  3. Step 3: Cross multiply
    6,199.19x = 9,298.66 × 1,816.55
  4. Step 4: Simplify right side
    6,199.19x = 16,891,429.79
  5. Step 5: Solve for x
    x = 16,891,429.79/6,199.19
  6. Step 6: Final answer
    x = 2,724.78

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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.