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Finding the Fourth Proportional to 6,047.87, 9,066.33 and 4,199.85

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Solution

The fourth proportional to 6,047.87, 9,066.33 and 4,199.85 is: 6,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.87 : 9,066.33 = 4,199.85 : x
  2. Step 2: Convert to fraction form
    6,047.87/9,066.33 = 4,199.85/x
  3. Step 3: Cross multiply
    6,047.87x = 9,066.33 × 4,199.85
  4. Step 4: Simplify right side
    6,047.87x = 38,077,226.05
  5. Step 5: Solve for x
    x = 38,077,226.05/6,047.87
  6. Step 6: Final answer
    x = 6,295.98

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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.