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Finding the Fourth Proportional to 9,807.75, 14,718.24 and 3,651.75

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Solution

The fourth proportional to 9,807.75, 14,718.24 and 3,651.75 is: 5,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.75 : 14,718.24 = 3,651.75 : x
  2. Step 2: Convert to fraction form
    9,807.75/14,718.24 = 3,651.75/x
  3. Step 3: Cross multiply
    9,807.75x = 14,718.24 × 3,651.75
  4. Step 4: Simplify right side
    9,807.75x = 53,747,332.92
  5. Step 5: Solve for x
    x = 53,747,332.92/9,807.75
  6. Step 6: Final answer
    x = 5,480.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.