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Finding the Fourth Proportional to 9,498.56, 14,246.32 and 2,571.52

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Solution

The fourth proportional to 9,498.56, 14,246.32 and 2,571.52 is: 3,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.56 : 14,246.32 = 2,571.52 : x
  2. Step 2: Convert to fraction form
    9,498.56/14,246.32 = 2,571.52/x
  3. Step 3: Cross multiply
    9,498.56x = 14,246.32 × 2,571.52
  4. Step 4: Simplify right side
    9,498.56x = 36,634,696.81
  5. Step 5: Solve for x
    x = 36,634,696.81/9,498.56
  6. Step 6: Final answer
    x = 3,856.87

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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.