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Finding the Fourth Proportional to 9,500.84, 14,251.08 and 2,575.40

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Solution

The fourth proportional to 9,500.84, 14,251.08 and 2,575.40 is: 3,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.84 : 14,251.08 = 2,575.40 : x
  2. Step 2: Convert to fraction form
    9,500.84/14,251.08 = 2,575.40/x
  3. Step 3: Cross multiply
    9,500.84x = 14,251.08 × 2,575.40
  4. Step 4: Simplify right side
    9,500.84x = 36,702,231.43
  5. Step 5: Solve for x
    x = 36,702,231.43/9,500.84
  6. Step 6: Final answer
    x = 3,863.05

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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.