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Finding the Fourth Proportional to 6,974.16, 9,620.96 and 4,618.28

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Solution

The fourth proportional to 6,974.16, 9,620.96 and 4,618.28 is: 6,370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.16 : 9,620.96 = 4,618.28 : x
  2. Step 2: Convert to fraction form
    6,974.16/9,620.96 = 4,618.28/x
  3. Step 3: Cross multiply
    6,974.16x = 9,620.96 × 4,618.28
  4. Step 4: Simplify right side
    6,974.16x = 44,432,287.15
  5. Step 5: Solve for x
    x = 44,432,287.15/6,974.16
  6. Step 6: Final answer
    x = 6,370.99

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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.