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Finding the Fourth Proportional to 9,494.78, 13,100.21 and 6,511.35

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Solution

The fourth proportional to 9,494.78, 13,100.21 and 6,511.35 is: 8,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.78 : 13,100.21 = 6,511.35 : x
  2. Step 2: Convert to fraction form
    9,494.78/13,100.21 = 6,511.35/x
  3. Step 3: Cross multiply
    9,494.78x = 13,100.21 × 6,511.35
  4. Step 4: Simplify right side
    9,494.78x = 85,299,954.33
  5. Step 5: Solve for x
    x = 85,299,954.33/9,494.78
  6. Step 6: Final answer
    x = 8,983.88

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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.