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Finding the Fourth Proportional to 9,164.72, 13,752.72 and 3,617.12

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Solution

The fourth proportional to 9,164.72, 13,752.72 and 3,617.12 is: 5,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.72 : 13,752.72 = 3,617.12 : x
  2. Step 2: Convert to fraction form
    9,164.72/13,752.72 = 3,617.12/x
  3. Step 3: Cross multiply
    9,164.72x = 13,752.72 × 3,617.12
  4. Step 4: Simplify right side
    9,164.72x = 49,745,238.57
  5. Step 5: Solve for x
    x = 49,745,238.57/9,164.72
  6. Step 6: Final answer
    x = 5,427.91

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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.