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Finding the Fourth Proportional to 9,100.98, 13,651.48 and 2,527.18

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Solution

The fourth proportional to 9,100.98, 13,651.48 and 2,527.18 is: 3,790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.98 : 13,651.48 = 2,527.18 : x
  2. Step 2: Convert to fraction form
    9,100.98/13,651.48 = 2,527.18/x
  3. Step 3: Cross multiply
    9,100.98x = 13,651.48 × 2,527.18
  4. Step 4: Simplify right side
    9,100.98x = 34,499,747.23
  5. Step 5: Solve for x
    x = 34,499,747.23/9,100.98
  6. Step 6: Final answer
    x = 3,790.77

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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.