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Finding the Fourth Proportional to 9,108.84, 13,661.10 and 4,175.40

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Solution

The fourth proportional to 9,108.84, 13,661.10 and 4,175.40 is: 6,262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.84 : 13,661.10 = 4,175.40 : x
  2. Step 2: Convert to fraction form
    9,108.84/13,661.10 = 4,175.40/x
  3. Step 3: Cross multiply
    9,108.84x = 13,661.10 × 4,175.40
  4. Step 4: Simplify right side
    9,108.84x = 57,040,556.94
  5. Step 5: Solve for x
    x = 57,040,556.94/9,108.84
  6. Step 6: Final answer
    x = 6,262.11

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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.