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Finding the Fourth Proportional to 6,199.60, 9,298.37 and 2,039.66

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Solution

The fourth proportional to 6,199.60, 9,298.37 and 2,039.66 is: 3,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.60 : 9,298.37 = 2,039.66 : x
  2. Step 2: Convert to fraction form
    6,199.60/9,298.37 = 2,039.66/x
  3. Step 3: Cross multiply
    6,199.60x = 9,298.37 × 2,039.66
  4. Step 4: Simplify right side
    6,199.60x = 18,965,490.11
  5. Step 5: Solve for x
    x = 18,965,490.11/6,199.60
  6. Step 6: Final answer
    x = 3,059.15

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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.