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Finding the Fourth Proportional to 9,703.85, 13,396.14 and 6,576.44

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Solution

The fourth proportional to 9,703.85, 13,396.14 and 6,576.44 is: 9,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.85 : 13,396.14 = 6,576.44 : x
  2. Step 2: Convert to fraction form
    9,703.85/13,396.14 = 6,576.44/x
  3. Step 3: Cross multiply
    9,703.85x = 13,396.14 × 6,576.44
  4. Step 4: Simplify right side
    9,703.85x = 88,098,843.96
  5. Step 5: Solve for x
    x = 88,098,843.96/9,703.85
  6. Step 6: Final answer
    x = 9,078.76

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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.