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Finding the Fourth Proportional to 9,500.96, 14,251.44 and 2,575.28

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Solution

The fourth proportional to 9,500.96, 14,251.44 and 2,575.28 is: 3,862.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.96 : 14,251.44 = 2,575.28 : x
  2. Step 2: Convert to fraction form
    9,500.96/14,251.44 = 2,575.28/x
  3. Step 3: Cross multiply
    9,500.96x = 14,251.44 × 2,575.28
  4. Step 4: Simplify right side
    9,500.96x = 36,701,448.40
  5. Step 5: Solve for x
    x = 36,701,448.40/9,500.96
  6. Step 6: Final answer
    x = 3,862.92

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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.