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Finding the Fourth Proportional to 7,086.48, 9,780.12 and 3,942.84

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Solution

The fourth proportional to 7,086.48, 9,780.12 and 3,942.84 is: 5,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.48 : 9,780.12 = 3,942.84 : x
  2. Step 2: Convert to fraction form
    7,086.48/9,780.12 = 3,942.84/x
  3. Step 3: Cross multiply
    7,086.48x = 9,780.12 × 3,942.84
  4. Step 4: Simplify right side
    7,086.48x = 38,561,448.34
  5. Step 5: Solve for x
    x = 38,561,448.34/7,086.48
  6. Step 6: Final answer
    x = 5,441.55

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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.