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Finding the Fourth Proportional to 9,964.83, 14,952.97 and 5,034.87

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Solution

The fourth proportional to 9,964.83, 14,952.97 and 5,034.87 is: 7,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.83 : 14,952.97 = 5,034.87 : x
  2. Step 2: Convert to fraction form
    9,964.83/14,952.97 = 5,034.87/x
  3. Step 3: Cross multiply
    9,964.83x = 14,952.97 × 5,034.87
  4. Step 4: Simplify right side
    9,964.83x = 75,286,266.36
  5. Step 5: Solve for x
    x = 75,286,266.36/9,964.83
  6. Step 6: Final answer
    x = 7,555.20

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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.