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Finding the Fourth Proportional to 9,891.48, 14,839.02 and 4,964.52

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Solution

The fourth proportional to 9,891.48, 14,839.02 and 4,964.52 is: 7,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.48 : 14,839.02 = 4,964.52 : x
  2. Step 2: Convert to fraction form
    9,891.48/14,839.02 = 4,964.52/x
  3. Step 3: Cross multiply
    9,891.48x = 14,839.02 × 4,964.52
  4. Step 4: Simplify right side
    9,891.48x = 73,668,611.57
  5. Step 5: Solve for x
    x = 73,668,611.57/9,891.48
  6. Step 6: Final answer
    x = 7,447.68

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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.