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Finding the Fourth Proportional to 6,918.57, 9,546.93 and 3,934.71

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Solution

The fourth proportional to 6,918.57, 9,546.93 and 3,934.71 is: 5,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918.57 : 9,546.93 = 3,934.71 : x
  2. Step 2: Convert to fraction form
    6,918.57/9,546.93 = 3,934.71/x
  3. Step 3: Cross multiply
    6,918.57x = 9,546.93 × 3,934.71
  4. Step 4: Simplify right side
    6,918.57x = 37,564,400.94
  5. Step 5: Solve for x
    x = 37,564,400.94/6,918.57
  6. Step 6: Final answer
    x = 5,429.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.