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Finding the Fourth Proportional to 9,171.56, 13,755.58 and 2,596.16

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Solution

The fourth proportional to 9,171.56, 13,755.58 and 2,596.16 is: 3,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.56 : 13,755.58 = 2,596.16 : x
  2. Step 2: Convert to fraction form
    9,171.56/13,755.58 = 2,596.16/x
  3. Step 3: Cross multiply
    9,171.56x = 13,755.58 × 2,596.16
  4. Step 4: Simplify right side
    9,171.56x = 35,711,686.57
  5. Step 5: Solve for x
    x = 35,711,686.57/9,171.56
  6. Step 6: Final answer
    x = 3,893.74

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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.