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Finding the Fourth Proportional to 6,935.45, 9,568.58 and 3,949.17

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Solution

The fourth proportional to 6,935.45, 9,568.58 and 3,949.17 is: 5,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.45 : 9,568.58 = 3,949.17 : x
  2. Step 2: Convert to fraction form
    6,935.45/9,568.58 = 3,949.17/x
  3. Step 3: Cross multiply
    6,935.45x = 9,568.58 × 3,949.17
  4. Step 4: Simplify right side
    6,935.45x = 37,787,929.12
  5. Step 5: Solve for x
    x = 37,787,929.12/6,935.45
  6. Step 6: Final answer
    x = 5,448.52

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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.