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Finding the Fourth Proportional to 7,086.88, 9,780.06 and 3,943

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Solution

The fourth proportional to 7,086.88, 9,780.06 and 3,943 is: 5,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.88 : 9,780.06 = 3,943 : x
  2. Step 2: Convert to fraction form
    7,086.88/9,780.06 = 3,943/x
  3. Step 3: Cross multiply
    7,086.88x = 9,780.06 × 3,943
  4. Step 4: Simplify right side
    7,086.88x = 38,562,776.58
  5. Step 5: Solve for x
    x = 38,562,776.58/7,086.88
  6. Step 6: Final answer
    x = 5,441.43

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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.