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Finding the Fourth Proportional to 9,172.32, 13,758.52 and 2,246.82

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Solution

The fourth proportional to 9,172.32, 13,758.52 and 2,246.82 is: 3,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.32 : 13,758.52 = 2,246.82 : x
  2. Step 2: Convert to fraction form
    9,172.32/13,758.52 = 2,246.82/x
  3. Step 3: Cross multiply
    9,172.32x = 13,758.52 × 2,246.82
  4. Step 4: Simplify right side
    9,172.32x = 30,912,917.91
  5. Step 5: Solve for x
    x = 30,912,917.91/9,172.32
  6. Step 6: Final answer
    x = 3,370.24

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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.