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Finding the Fourth Proportional to 9,589.50, 14,363.37 and 4,648.68

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Solution

The fourth proportional to 9,589.50, 14,363.37 and 4,648.68 is: 6,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.50 : 14,363.37 = 4,648.68 : x
  2. Step 2: Convert to fraction form
    9,589.50/14,363.37 = 4,648.68/x
  3. Step 3: Cross multiply
    9,589.50x = 14,363.37 × 4,648.68
  4. Step 4: Simplify right side
    9,589.50x = 66,770,710.85
  5. Step 5: Solve for x
    x = 66,770,710.85/9,589.50
  6. Step 6: Final answer
    x = 6,962.90

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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.