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Finding the Fourth Proportional to 9,906.70, 14,860.07 and 2,511.16

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Solution

The fourth proportional to 9,906.70, 14,860.07 and 2,511.16 is: 3,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.70 : 14,860.07 = 2,511.16 : x
  2. Step 2: Convert to fraction form
    9,906.70/14,860.07 = 2,511.16/x
  3. Step 3: Cross multiply
    9,906.70x = 14,860.07 × 2,511.16
  4. Step 4: Simplify right side
    9,906.70x = 37,316,013.38
  5. Step 5: Solve for x
    x = 37,316,013.38/9,906.70
  6. Step 6: Final answer
    x = 3,766.75

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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.