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Finding the Fourth Proportional to 6,910.62, 9,534.87 and 4,114.14

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Solution

The fourth proportional to 6,910.62, 9,534.87 and 4,114.14 is: 5,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.62 : 9,534.87 = 4,114.14 : x
  2. Step 2: Convert to fraction form
    6,910.62/9,534.87 = 4,114.14/x
  3. Step 3: Cross multiply
    6,910.62x = 9,534.87 × 4,114.14
  4. Step 4: Simplify right side
    6,910.62x = 39,227,790.06
  5. Step 5: Solve for x
    x = 39,227,790.06/6,910.62
  6. Step 6: Final answer
    x = 5,676.45

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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.