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Finding the Fourth Proportional to 9,740.80, 14,614.80 and 3,167.20

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Solution

The fourth proportional to 9,740.80, 14,614.80 and 3,167.20 is: 4,751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.80 : 14,614.80 = 3,167.20 : x
  2. Step 2: Convert to fraction form
    9,740.80/14,614.80 = 3,167.20/x
  3. Step 3: Cross multiply
    9,740.80x = 14,614.80 × 3,167.20
  4. Step 4: Simplify right side
    9,740.80x = 46,287,994.56
  5. Step 5: Solve for x
    x = 46,287,994.56/9,740.80
  6. Step 6: Final answer
    x = 4,751.97

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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.