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Finding the Fourth Proportional to 9,906.90, 14,859.42 and 3,333.16

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Solution

The fourth proportional to 9,906.90, 14,859.42 and 3,333.16 is: 4,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.90 : 14,859.42 = 3,333.16 : x
  2. Step 2: Convert to fraction form
    9,906.90/14,859.42 = 3,333.16/x
  3. Step 3: Cross multiply
    9,906.90x = 14,859.42 × 3,333.16
  4. Step 4: Simplify right side
    9,906.90x = 49,528,824.37
  5. Step 5: Solve for x
    x = 49,528,824.37/9,906.90
  6. Step 6: Final answer
    x = 4,999.43

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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.