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Finding the Fourth Proportional to 6,934.84, 9,569.91 and 3,951.64

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Solution

The fourth proportional to 6,934.84, 9,569.91 and 3,951.64 is: 5,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.84 : 9,569.91 = 3,951.64 : x
  2. Step 2: Convert to fraction form
    6,934.84/9,569.91 = 3,951.64/x
  3. Step 3: Cross multiply
    6,934.84x = 9,569.91 × 3,951.64
  4. Step 4: Simplify right side
    6,934.84x = 37,816,839.15
  5. Step 5: Solve for x
    x = 37,816,839.15/6,934.84
  6. Step 6: Final answer
    x = 5,453.17

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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.