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Finding the Fourth Proportional to 9,677.82, 13,351.54 and 6,319.56

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Solution

The fourth proportional to 9,677.82, 13,351.54 and 6,319.56 is: 8,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.82 : 13,351.54 = 6,319.56 : x
  2. Step 2: Convert to fraction form
    9,677.82/13,351.54 = 6,319.56/x
  3. Step 3: Cross multiply
    9,677.82x = 13,351.54 × 6,319.56
  4. Step 4: Simplify right side
    9,677.82x = 84,375,858.12
  5. Step 5: Solve for x
    x = 84,375,858.12/9,677.82
  6. Step 6: Final answer
    x = 8,718.48

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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.