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Finding the Fourth Proportional to 9,487.33, 14,230.99 and 5,589

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Solution

The fourth proportional to 9,487.33, 14,230.99 and 5,589 is: 8,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.33 : 14,230.99 = 5,589 : x
  2. Step 2: Convert to fraction form
    9,487.33/14,230.99 = 5,589/x
  3. Step 3: Cross multiply
    9,487.33x = 14,230.99 × 5,589
  4. Step 4: Simplify right side
    9,487.33x = 79,537,010.10
  5. Step 5: Solve for x
    x = 79,537,010.10/9,487.33
  6. Step 6: Final answer
    x = 8,383.50

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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.