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Finding the Fourth Proportional to 9,188.34, 13,780.08 and 3,993

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Solution

The fourth proportional to 9,188.34, 13,780.08 and 3,993 is: 5,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.34 : 13,780.08 = 3,993 : x
  2. Step 2: Convert to fraction form
    9,188.34/13,780.08 = 3,993/x
  3. Step 3: Cross multiply
    9,188.34x = 13,780.08 × 3,993
  4. Step 4: Simplify right side
    9,188.34x = 55,023,859.44
  5. Step 5: Solve for x
    x = 55,023,859.44/9,188.34
  6. Step 6: Final answer
    x = 5,988.44

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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.