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Finding the Fourth Proportional to 6,701.40, 9,247.77 and 3,676.46

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Solution

The fourth proportional to 6,701.40, 9,247.77 and 3,676.46 is: 5,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.40 : 9,247.77 = 3,676.46 : x
  2. Step 2: Convert to fraction form
    6,701.40/9,247.77 = 3,676.46/x
  3. Step 3: Cross multiply
    6,701.40x = 9,247.77 × 3,676.46
  4. Step 4: Simplify right side
    6,701.40x = 33,999,010.26
  5. Step 5: Solve for x
    x = 33,999,010.26/6,701.40
  6. Step 6: Final answer
    x = 5,073.42

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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.