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Finding the Fourth Proportional to 9,277.38, 13,916.16 and 2,351.88

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Solution

The fourth proportional to 9,277.38, 13,916.16 and 2,351.88 is: 3,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.38 : 13,916.16 = 2,351.88 : x
  2. Step 2: Convert to fraction form
    9,277.38/13,916.16 = 2,351.88/x
  3. Step 3: Cross multiply
    9,277.38x = 13,916.16 × 2,351.88
  4. Step 4: Simplify right side
    9,277.38x = 32,729,138.38
  5. Step 5: Solve for x
    x = 32,729,138.38/9,277.38
  6. Step 6: Final answer
    x = 3,527.84

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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.