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Finding the Fourth Proportional to 9,171.96, 13,758.54 and 2,597.59

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Solution

The fourth proportional to 9,171.96, 13,758.54 and 2,597.59 is: 3,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.96 : 13,758.54 = 2,597.59 : x
  2. Step 2: Convert to fraction form
    9,171.96/13,758.54 = 2,597.59/x
  3. Step 3: Cross multiply
    9,171.96x = 13,758.54 × 2,597.59
  4. Step 4: Simplify right side
    9,171.96x = 35,739,045.92
  5. Step 5: Solve for x
    x = 35,739,045.92/9,171.96
  6. Step 6: Final answer
    x = 3,896.55

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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.