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Finding the Fourth Proportional to 9,101.46, 13,653.16 and 2,527.66

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Solution

The fourth proportional to 9,101.46, 13,653.16 and 2,527.66 is: 3,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.46 : 13,653.16 = 2,527.66 : x
  2. Step 2: Convert to fraction form
    9,101.46/13,653.16 = 2,527.66/x
  3. Step 3: Cross multiply
    9,101.46x = 13,653.16 × 2,527.66
  4. Step 4: Simplify right side
    9,101.46x = 34,510,546.41
  5. Step 5: Solve for x
    x = 34,510,546.41/9,101.46
  6. Step 6: Final answer
    x = 3,791.76

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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.