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Finding the Fourth Proportional to 6,199.85, 9,298.56 and 1,816.13

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Solution

The fourth proportional to 6,199.85, 9,298.56 and 1,816.13 is: 2,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.85 : 9,298.56 = 1,816.13 : x
  2. Step 2: Convert to fraction form
    6,199.85/9,298.56 = 1,816.13/x
  3. Step 3: Cross multiply
    6,199.85x = 9,298.56 × 1,816.13
  4. Step 4: Simplify right side
    6,199.85x = 16,887,384.69
  5. Step 5: Solve for x
    x = 16,887,384.69/6,199.85
  6. Step 6: Final answer
    x = 2,723.84

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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.