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Finding the Fourth Proportional to 9,860.70, 14,786.01 and 2,934.30

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Solution

The fourth proportional to 9,860.70, 14,786.01 and 2,934.30 is: 4,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.70 : 14,786.01 = 2,934.30 : x
  2. Step 2: Convert to fraction form
    9,860.70/14,786.01 = 2,934.30/x
  3. Step 3: Cross multiply
    9,860.70x = 14,786.01 × 2,934.30
  4. Step 4: Simplify right side
    9,860.70x = 43,386,589.14
  5. Step 5: Solve for x
    x = 43,386,589.14/9,860.70
  6. Step 6: Final answer
    x = 4,399.95

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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.