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Finding the Fourth Proportional to 9,971.82, 14,959.14 and 3,399.08

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Solution

The fourth proportional to 9,971.82, 14,959.14 and 3,399.08 is: 5,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.82 : 14,959.14 = 3,399.08 : x
  2. Step 2: Convert to fraction form
    9,971.82/14,959.14 = 3,399.08/x
  3. Step 3: Cross multiply
    9,971.82x = 14,959.14 × 3,399.08
  4. Step 4: Simplify right side
    9,971.82x = 50,847,313.59
  5. Step 5: Solve for x
    x = 50,847,313.59/9,971.82
  6. Step 6: Final answer
    x = 5,099.10

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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.