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Finding the Fourth Proportional to 7,205.77, 9,943.83 and 4,061.96

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Solution

The fourth proportional to 7,205.77, 9,943.83 and 4,061.96 is: 5,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.77 : 9,943.83 = 4,061.96 : x
  2. Step 2: Convert to fraction form
    7,205.77/9,943.83 = 4,061.96/x
  3. Step 3: Cross multiply
    7,205.77x = 9,943.83 × 4,061.96
  4. Step 4: Simplify right side
    7,205.77x = 40,391,439.71
  5. Step 5: Solve for x
    x = 40,391,439.71/7,205.77
  6. Step 6: Final answer
    x = 5,605.43

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Why These Related Problems?

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