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Finding the Fourth Proportional to 9,277.62, 13,901.84 and 7,174.38

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Solution

The fourth proportional to 9,277.62, 13,901.84 and 7,174.38 is: 10,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.62 : 13,901.84 = 7,174.38 : x
  2. Step 2: Convert to fraction form
    9,277.62/13,901.84 = 7,174.38/x
  3. Step 3: Cross multiply
    9,277.62x = 13,901.84 × 7,174.38
  4. Step 4: Simplify right side
    9,277.62x = 99,737,046.99
  5. Step 5: Solve for x
    x = 99,737,046.99/9,277.62
  6. Step 6: Final answer
    x = 10,750.28

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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.