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Finding the Fourth Proportional to 9,462.88, 14,191.84 and 2,888.36

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Solution

The fourth proportional to 9,462.88, 14,191.84 and 2,888.36 is: 4,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.88 : 14,191.84 = 2,888.36 : x
  2. Step 2: Convert to fraction form
    9,462.88/14,191.84 = 2,888.36/x
  3. Step 3: Cross multiply
    9,462.88x = 14,191.84 × 2,888.36
  4. Step 4: Simplify right side
    9,462.88x = 40,991,142.98
  5. Step 5: Solve for x
    x = 40,991,142.98/9,462.88
  6. Step 6: Final answer
    x = 4,331.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.