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Finding the Fourth Proportional to 9,534.15, 13,161.78 and 6,349.34

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Solution

The fourth proportional to 9,534.15, 13,161.78 and 6,349.34 is: 8,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.15 : 13,161.78 = 6,349.34 : x
  2. Step 2: Convert to fraction form
    9,534.15/13,161.78 = 6,349.34/x
  3. Step 3: Cross multiply
    9,534.15x = 13,161.78 × 6,349.34
  4. Step 4: Simplify right side
    9,534.15x = 83,568,649.13
  5. Step 5: Solve for x
    x = 83,568,649.13/9,534.15
  6. Step 6: Final answer
    x = 8,765.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.