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Finding the Fourth Proportional to 7,102.18, 9,801.05 and 4,119.79

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Solution

The fourth proportional to 7,102.18, 9,801.05 and 4,119.79 is: 5,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.18 : 9,801.05 = 4,119.79 : x
  2. Step 2: Convert to fraction form
    7,102.18/9,801.05 = 4,119.79/x
  3. Step 3: Cross multiply
    7,102.18x = 9,801.05 × 4,119.79
  4. Step 4: Simplify right side
    7,102.18x = 40,378,267.78
  5. Step 5: Solve for x
    x = 40,378,267.78/7,102.18
  6. Step 6: Final answer
    x = 5,685.33

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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.