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Finding the Fourth Proportional to 9,108.44, 13,663.11 and 4,175.84

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Solution

The fourth proportional to 9,108.44, 13,663.11 and 4,175.84 is: 6,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.44 : 13,663.11 = 4,175.84 : x
  2. Step 2: Convert to fraction form
    9,108.44/13,663.11 = 4,175.84/x
  3. Step 3: Cross multiply
    9,108.44x = 13,663.11 × 4,175.84
  4. Step 4: Simplify right side
    9,108.44x = 57,054,961.26
  5. Step 5: Solve for x
    x = 57,054,961.26/9,108.44
  6. Step 6: Final answer
    x = 6,263.97

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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.