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Finding the Fourth Proportional to 6,117.54, 9,179.49 and 3,343.71

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Solution

The fourth proportional to 6,117.54, 9,179.49 and 3,343.71 is: 5,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.54 : 9,179.49 = 3,343.71 : x
  2. Step 2: Convert to fraction form
    6,117.54/9,179.49 = 3,343.71/x
  3. Step 3: Cross multiply
    6,117.54x = 9,179.49 × 3,343.71
  4. Step 4: Simplify right side
    6,117.54x = 30,693,552.51
  5. Step 5: Solve for x
    x = 30,693,552.51/6,117.54
  6. Step 6: Final answer
    x = 5,017.30

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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.