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Finding the Fourth Proportional to 9,270.14, 13,872.87 and 7,584.77

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Solution

The fourth proportional to 9,270.14, 13,872.87 and 7,584.77 is: 11,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.14 : 13,872.87 = 7,584.77 : x
  2. Step 2: Convert to fraction form
    9,270.14/13,872.87 = 7,584.77/x
  3. Step 3: Cross multiply
    9,270.14x = 13,872.87 × 7,584.77
  4. Step 4: Simplify right side
    9,270.14x = 105,222,562.87
  5. Step 5: Solve for x
    x = 105,222,562.87/9,270.14
  6. Step 6: Final answer
    x = 11,350.70

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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.