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Finding the Fourth Proportional to 9,500.25, 14,250.78 and 2,574.75

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Solution

The fourth proportional to 9,500.25, 14,250.78 and 2,574.75 is: 3,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.25 : 14,250.78 = 2,574.75 : x
  2. Step 2: Convert to fraction form
    9,500.25/14,250.78 = 2,574.75/x
  3. Step 3: Cross multiply
    9,500.25x = 14,250.78 × 2,574.75
  4. Step 4: Simplify right side
    9,500.25x = 36,692,195.81
  5. Step 5: Solve for x
    x = 36,692,195.81/9,500.25
  6. Step 6: Final answer
    x = 3,862.23

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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.