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Finding the Fourth Proportional to 9,500.16, 14,250.24 and 2,574.84

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Solution

The fourth proportional to 9,500.16, 14,250.24 and 2,574.84 is: 3,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.16 : 14,250.24 = 2,574.84 : x
  2. Step 2: Convert to fraction form
    9,500.16/14,250.24 = 2,574.84/x
  3. Step 3: Cross multiply
    9,500.16x = 14,250.24 × 2,574.84
  4. Step 4: Simplify right side
    9,500.16x = 36,692,087.96
  5. Step 5: Solve for x
    x = 36,692,087.96/9,500.16
  6. Step 6: Final answer
    x = 3,862.26

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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.