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Finding the Fourth Proportional to 6,117.14, 9,171.99 and 3,339.95

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Solution

The fourth proportional to 6,117.14, 9,171.99 and 3,339.95 is: 5,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.14 : 9,171.99 = 3,339.95 : x
  2. Step 2: Convert to fraction form
    6,117.14/9,171.99 = 3,339.95/x
  3. Step 3: Cross multiply
    6,117.14x = 9,171.99 × 3,339.95
  4. Step 4: Simplify right side
    6,117.14x = 30,633,942.14
  5. Step 5: Solve for x
    x = 30,633,942.14/6,117.14
  6. Step 6: Final answer
    x = 5,007.89

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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.