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Finding the Fourth Proportional to 9,270.17, 13,872.92 and 7,584.81

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Solution

The fourth proportional to 9,270.17, 13,872.92 and 7,584.81 is: 11,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.17 : 13,872.92 = 7,584.81 : x
  2. Step 2: Convert to fraction form
    9,270.17/13,872.92 = 7,584.81/x
  3. Step 3: Cross multiply
    9,270.17x = 13,872.92 × 7,584.81
  4. Step 4: Simplify right side
    9,270.17x = 105,223,424.42
  5. Step 5: Solve for x
    x = 105,223,424.42/9,270.17
  6. Step 6: Final answer
    x = 11,350.76

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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.