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Finding the Fourth Proportional to 6,199.34, 9,291.99 and 3,081.52

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Solution

The fourth proportional to 6,199.34, 9,291.99 and 3,081.52 is: 4,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.34 : 9,291.99 = 3,081.52 : x
  2. Step 2: Convert to fraction form
    6,199.34/9,291.99 = 3,081.52/x
  3. Step 3: Cross multiply
    6,199.34x = 9,291.99 × 3,081.52
  4. Step 4: Simplify right side
    6,199.34x = 28,633,453.02
  5. Step 5: Solve for x
    x = 28,633,453.02/6,199.34
  6. Step 6: Final answer
    x = 4,618.79

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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.