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Finding the Fourth Proportional to 9,105.96, 13,637.04 and 6,175.36

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Solution

The fourth proportional to 9,105.96, 13,637.04 and 6,175.36 is: 9,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.96 : 13,637.04 = 6,175.36 : x
  2. Step 2: Convert to fraction form
    9,105.96/13,637.04 = 6,175.36/x
  3. Step 3: Cross multiply
    9,105.96x = 13,637.04 × 6,175.36
  4. Step 4: Simplify right side
    9,105.96x = 84,213,631.33
  5. Step 5: Solve for x
    x = 84,213,631.33/9,105.96
  6. Step 6: Final answer
    x = 9,248.19

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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.