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Finding the Fourth Proportional to 9,682.67, 13,357.64 and 5,701.87

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Solution

The fourth proportional to 9,682.67, 13,357.64 and 5,701.87 is: 7,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.67 : 13,357.64 = 5,701.87 : x
  2. Step 2: Convert to fraction form
    9,682.67/13,357.64 = 5,701.87/x
  3. Step 3: Cross multiply
    9,682.67x = 13,357.64 × 5,701.87
  4. Step 4: Simplify right side
    9,682.67x = 76,163,557.74
  5. Step 5: Solve for x
    x = 76,163,557.74/9,682.67
  6. Step 6: Final answer
    x = 7,865.97

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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.