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Finding the Fourth Proportional to 7,178.28, 9,902.70 and 4,194.24

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Solution

The fourth proportional to 7,178.28, 9,902.70 and 4,194.24 is: 5,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.28 : 9,902.70 = 4,194.24 : x
  2. Step 2: Convert to fraction form
    7,178.28/9,902.70 = 4,194.24/x
  3. Step 3: Cross multiply
    7,178.28x = 9,902.70 × 4,194.24
  4. Step 4: Simplify right side
    7,178.28x = 41,534,300.45
  5. Step 5: Solve for x
    x = 41,534,300.45/7,178.28
  6. Step 6: Final answer
    x = 5,786.11

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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.