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Finding the Fourth Proportional to 6,974.28, 9,620.48 and 4,178.16

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Solution

The fourth proportional to 6,974.28, 9,620.48 and 4,178.16 is: 5,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.28 : 9,620.48 = 4,178.16 : x
  2. Step 2: Convert to fraction form
    6,974.28/9,620.48 = 4,178.16/x
  3. Step 3: Cross multiply
    6,974.28x = 9,620.48 × 4,178.16
  4. Step 4: Simplify right side
    6,974.28x = 40,195,904.72
  5. Step 5: Solve for x
    x = 40,195,904.72/6,974.28
  6. Step 6: Final answer
    x = 5,763.45

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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.