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Finding the Fourth Proportional to 9,906.78, 14,860.68 and 2,511.30

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Solution

The fourth proportional to 9,906.78, 14,860.68 and 2,511.30 is: 3,767.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.78 : 14,860.68 = 2,511.30 : x
  2. Step 2: Convert to fraction form
    9,906.78/14,860.68 = 2,511.30/x
  3. Step 3: Cross multiply
    9,906.78x = 14,860.68 × 2,511.30
  4. Step 4: Simplify right side
    9,906.78x = 37,319,625.68
  5. Step 5: Solve for x
    x = 37,319,625.68/9,906.78
  6. Step 6: Final answer
    x = 3,767.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.