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Finding the Fourth Proportional to 9,974.10, 13,751.48 and 8,174.96

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Solution

The fourth proportional to 9,974.10, 13,751.48 and 8,174.96 is: 11,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.10 : 13,751.48 = 8,174.96 : x
  2. Step 2: Convert to fraction form
    9,974.10/13,751.48 = 8,174.96/x
  3. Step 3: Cross multiply
    9,974.10x = 13,751.48 × 8,174.96
  4. Step 4: Simplify right side
    9,974.10x = 112,417,689.31
  5. Step 5: Solve for x
    x = 112,417,689.31/9,974.10
  6. Step 6: Final answer
    x = 11,270.96

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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.