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Finding the Fourth Proportional to 9,974.22, 13,764.48 and 5,724.14

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Solution

The fourth proportional to 9,974.22, 13,764.48 and 5,724.14 is: 7,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.22 : 13,764.48 = 5,724.14 : x
  2. Step 2: Convert to fraction form
    9,974.22/13,764.48 = 5,724.14/x
  3. Step 3: Cross multiply
    9,974.22x = 13,764.48 × 5,724.14
  4. Step 4: Simplify right side
    9,974.22x = 78,789,810.55
  5. Step 5: Solve for x
    x = 78,789,810.55/9,974.22
  6. Step 6: Final answer
    x = 7,899.35

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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.