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Finding the Fourth Proportional to 6,234.77, 9,351.20 and 2,074.85

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Solution

The fourth proportional to 6,234.77, 9,351.20 and 2,074.85 is: 3,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.77 : 9,351.20 = 2,074.85 : x
  2. Step 2: Convert to fraction form
    6,234.77/9,351.20 = 2,074.85/x
  3. Step 3: Cross multiply
    6,234.77x = 9,351.20 × 2,074.85
  4. Step 4: Simplify right side
    6,234.77x = 19,402,326.95
  5. Step 5: Solve for x
    x = 19,402,326.95/6,234.77
  6. Step 6: Final answer
    x = 3,111.96

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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.