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Finding the Fourth Proportional to 7,102.19, 9,800.97 and 4,119.75

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Solution

The fourth proportional to 7,102.19, 9,800.97 and 4,119.75 is: 5,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.19 : 9,800.97 = 4,119.75 : x
  2. Step 2: Convert to fraction form
    7,102.19/9,800.97 = 4,119.75/x
  3. Step 3: Cross multiply
    7,102.19x = 9,800.97 × 4,119.75
  4. Step 4: Simplify right side
    7,102.19x = 40,377,546.16
  5. Step 5: Solve for x
    x = 40,377,546.16/7,102.19
  6. Step 6: Final answer
    x = 5,685.22

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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.