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Finding the Fourth Proportional to 9,967.80, 14,952.12 and 3,727.20

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Solution

The fourth proportional to 9,967.80, 14,952.12 and 3,727.20 is: 5,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.80 : 14,952.12 = 3,727.20 : x
  2. Step 2: Convert to fraction form
    9,967.80/14,952.12 = 3,727.20/x
  3. Step 3: Cross multiply
    9,967.80x = 14,952.12 × 3,727.20
  4. Step 4: Simplify right side
    9,967.80x = 55,729,541.66
  5. Step 5: Solve for x
    x = 55,729,541.66/9,967.80
  6. Step 6: Final answer
    x = 5,590.96

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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.