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Finding the Fourth Proportional to 9,500.90, 14,251.34 and 2,575.40

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Solution

The fourth proportional to 9,500.90, 14,251.34 and 2,575.40 is: 3,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.90 : 14,251.34 = 2,575.40 : x
  2. Step 2: Convert to fraction form
    9,500.90/14,251.34 = 2,575.40/x
  3. Step 3: Cross multiply
    9,500.90x = 14,251.34 × 2,575.40
  4. Step 4: Simplify right side
    9,500.90x = 36,702,836.22
  5. Step 5: Solve for x
    x = 36,702,836.22/9,500.90
  6. Step 6: Final answer
    x = 3,863.09

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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.