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Finding the Fourth Proportional to 9,679.26, 13,355.77 and 5,698.92

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Solution

The fourth proportional to 9,679.26, 13,355.77 and 5,698.92 is: 7,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.26 : 13,355.77 = 5,698.92 : x
  2. Step 2: Convert to fraction form
    9,679.26/13,355.77 = 5,698.92/x
  3. Step 3: Cross multiply
    9,679.26x = 13,355.77 × 5,698.92
  4. Step 4: Simplify right side
    9,679.26x = 76,113,464.77
  5. Step 5: Solve for x
    x = 76,113,464.77/9,679.26
  6. Step 6: Final answer
    x = 7,863.56

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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.