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Finding the Fourth Proportional to 9,678.20, 14,517.23 and 2,658.20

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Solution

The fourth proportional to 9,678.20, 14,517.23 and 2,658.20 is: 3,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.20 : 14,517.23 = 2,658.20 : x
  2. Step 2: Convert to fraction form
    9,678.20/14,517.23 = 2,658.20/x
  3. Step 3: Cross multiply
    9,678.20x = 14,517.23 × 2,658.20
  4. Step 4: Simplify right side
    9,678.20x = 38,589,687.50
  5. Step 5: Solve for x
    x = 38,589,687.50/9,678.20
  6. Step 6: Final answer
    x = 3,987.28

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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.