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Finding the Fourth Proportional to 9,902.09, 14,856.60 and 3,328.22

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Solution

The fourth proportional to 9,902.09, 14,856.60 and 3,328.22 is: 4,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.09 : 14,856.60 = 3,328.22 : x
  2. Step 2: Convert to fraction form
    9,902.09/14,856.60 = 3,328.22/x
  3. Step 3: Cross multiply
    9,902.09x = 14,856.60 × 3,328.22
  4. Step 4: Simplify right side
    9,902.09x = 49,446,033.25
  5. Step 5: Solve for x
    x = 49,446,033.25/9,902.09
  6. Step 6: Final answer
    x = 4,993.49

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Why These Related Problems?

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