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Finding the Fourth Proportional to 9,171.64, 13,748.12 and 3,617.36

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Solution

The fourth proportional to 9,171.64, 13,748.12 and 3,617.36 is: 5,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.64 : 13,748.12 = 3,617.36 : x
  2. Step 2: Convert to fraction form
    9,171.64/13,748.12 = 3,617.36/x
  3. Step 3: Cross multiply
    9,171.64x = 13,748.12 × 3,617.36
  4. Step 4: Simplify right side
    9,171.64x = 49,731,899.36
  5. Step 5: Solve for x
    x = 49,731,899.36/9,171.64
  6. Step 6: Final answer
    x = 5,422.36

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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.