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Finding the Fourth Proportional to 9,146.96, 13,718.84 and 2,571.58

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Solution

The fourth proportional to 9,146.96, 13,718.84 and 2,571.58 is: 3,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.96 : 13,718.84 = 2,571.58 : x
  2. Step 2: Convert to fraction form
    9,146.96/13,718.84 = 2,571.58/x
  3. Step 3: Cross multiply
    9,146.96x = 13,718.84 × 2,571.58
  4. Step 4: Simplify right side
    9,146.96x = 35,279,074.20
  5. Step 5: Solve for x
    x = 35,279,074.20/9,146.96
  6. Step 6: Final answer
    x = 3,856.92

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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.