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Finding the Fourth Proportional to 9,608.24, 13,255.80 and 6,459.44

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Solution

The fourth proportional to 9,608.24, 13,255.80 and 6,459.44 is: 8,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.24 : 13,255.80 = 6,459.44 : x
  2. Step 2: Convert to fraction form
    9,608.24/13,255.80 = 6,459.44/x
  3. Step 3: Cross multiply
    9,608.24x = 13,255.80 × 6,459.44
  4. Step 4: Simplify right side
    9,608.24x = 85,625,044.75
  5. Step 5: Solve for x
    x = 85,625,044.75/9,608.24
  6. Step 6: Final answer
    x = 8,911.63

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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.