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Finding the Fourth Proportional to 9,906.83, 14,860.36 and 2,511.10

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Solution

The fourth proportional to 9,906.83, 14,860.36 and 2,511.10 is: 3,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.83 : 14,860.36 = 2,511.10 : x
  2. Step 2: Convert to fraction form
    9,906.83/14,860.36 = 2,511.10/x
  3. Step 3: Cross multiply
    9,906.83x = 14,860.36 × 2,511.10
  4. Step 4: Simplify right side
    9,906.83x = 37,315,871.71
  5. Step 5: Solve for x
    x = 37,315,871.71/9,906.83
  6. Step 6: Final answer
    x = 3,766.68

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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.