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Finding the Fourth Proportional to 9,077.75, 13,615.00 and 2,414.28

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Solution

The fourth proportional to 9,077.75, 13,615.00 and 2,414.28 is: 3,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.75 : 13,615.00 = 2,414.28 : x
  2. Step 2: Convert to fraction form
    9,077.75/13,615.00 = 2,414.28/x
  3. Step 3: Cross multiply
    9,077.75x = 13,615.00 × 2,414.28
  4. Step 4: Simplify right side
    9,077.75x = 32,870,416.16
  5. Step 5: Solve for x
    x = 32,870,416.16/9,077.75
  6. Step 6: Final answer
    x = 3,620.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.