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Finding the Fourth Proportional to 9,327.88, 13,991.28 and 4,132

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Solution

The fourth proportional to 9,327.88, 13,991.28 and 4,132 is: 6,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.88 : 13,991.28 = 4,132 : x
  2. Step 2: Convert to fraction form
    9,327.88/13,991.28 = 4,132/x
  3. Step 3: Cross multiply
    9,327.88x = 13,991.28 × 4,132
  4. Step 4: Simplify right side
    9,327.88x = 57,811,968.96
  5. Step 5: Solve for x
    x = 57,811,968.96/9,327.88
  6. Step 6: Final answer
    x = 6,197.76

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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.