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Finding the Fourth Proportional to 7,035.57, 9,708.43 and 3,891.69

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Solution

The fourth proportional to 7,035.57, 9,708.43 and 3,891.69 is: 5,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.57 : 9,708.43 = 3,891.69 : x
  2. Step 2: Convert to fraction form
    7,035.57/9,708.43 = 3,891.69/x
  3. Step 3: Cross multiply
    7,035.57x = 9,708.43 × 3,891.69
  4. Step 4: Simplify right side
    7,035.57x = 37,782,199.95
  5. Step 5: Solve for x
    x = 37,782,199.95/7,035.57
  6. Step 6: Final answer
    x = 5,370.17

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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.