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Finding the Fourth Proportional to 7,120.71, 9,826.65 and 3,934.17

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Solution

The fourth proportional to 7,120.71, 9,826.65 and 3,934.17 is: 5,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.71 : 9,826.65 = 3,934.17 : x
  2. Step 2: Convert to fraction form
    7,120.71/9,826.65 = 3,934.17/x
  3. Step 3: Cross multiply
    7,120.71x = 9,826.65 × 3,934.17
  4. Step 4: Simplify right side
    7,120.71x = 38,659,711.63
  5. Step 5: Solve for x
    x = 38,659,711.63/7,120.71
  6. Step 6: Final answer
    x = 5,429.19

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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.