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Finding the Fourth Proportional to 9,550.40, 14,324.52 and 2,624

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Solution

The fourth proportional to 9,550.40, 14,324.52 and 2,624 is: 3,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.40 : 14,324.52 = 2,624 : x
  2. Step 2: Convert to fraction form
    9,550.40/14,324.52 = 2,624/x
  3. Step 3: Cross multiply
    9,550.40x = 14,324.52 × 2,624
  4. Step 4: Simplify right side
    9,550.40x = 37,587,540.48
  5. Step 5: Solve for x
    x = 37,587,540.48/9,550.40
  6. Step 6: Final answer
    x = 3,935.70

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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.