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Finding the Fourth Proportional to 9,659.43, 13,325.30 and 6,078.82

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Solution

The fourth proportional to 9,659.43, 13,325.30 and 6,078.82 is: 8,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.43 : 13,325.30 = 6,078.82 : x
  2. Step 2: Convert to fraction form
    9,659.43/13,325.30 = 6,078.82/x
  3. Step 3: Cross multiply
    9,659.43x = 13,325.30 × 6,078.82
  4. Step 4: Simplify right side
    9,659.43x = 81,002,109.20
  5. Step 5: Solve for x
    x = 81,002,109.20/9,659.43
  6. Step 6: Final answer
    x = 8,385.81

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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.