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Finding the Fourth Proportional to 9,174.84, 13,760.06 and 4,239.75

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Solution

The fourth proportional to 9,174.84, 13,760.06 and 4,239.75 is: 6,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.84 : 13,760.06 = 4,239.75 : x
  2. Step 2: Convert to fraction form
    9,174.84/13,760.06 = 4,239.75/x
  3. Step 3: Cross multiply
    9,174.84x = 13,760.06 × 4,239.75
  4. Step 4: Simplify right side
    9,174.84x = 58,339,193.19
  5. Step 5: Solve for x
    x = 58,339,193.19/9,174.84
  6. Step 6: Final answer
    x = 6,358.61

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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.