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Finding the Fourth Proportional to 6,676.76, 9,211.14 and 3,843.45

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Solution

The fourth proportional to 6,676.76, 9,211.14 and 3,843.45 is: 5,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.76 : 9,211.14 = 3,843.45 : x
  2. Step 2: Convert to fraction form
    6,676.76/9,211.14 = 3,843.45/x
  3. Step 3: Cross multiply
    6,676.76x = 9,211.14 × 3,843.45
  4. Step 4: Simplify right side
    6,676.76x = 35,402,597.78
  5. Step 5: Solve for x
    x = 35,402,597.78/6,676.76
  6. Step 6: Final answer
    x = 5,302.36

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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.