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Finding the Fourth Proportional to 9,149.10, 13,706.37 and 5,241.66

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Solution

The fourth proportional to 9,149.10, 13,706.37 and 5,241.66 is: 7,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.10 : 13,706.37 = 5,241.66 : x
  2. Step 2: Convert to fraction form
    9,149.10/13,706.37 = 5,241.66/x
  3. Step 3: Cross multiply
    9,149.10x = 13,706.37 × 5,241.66
  4. Step 4: Simplify right side
    9,149.10x = 71,844,131.37
  5. Step 5: Solve for x
    x = 71,844,131.37/9,149.10
  6. Step 6: Final answer
    x = 7,852.59

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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.