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Finding the Fourth Proportional to 9,309.52, 13,969.74 and 3,466

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Solution

The fourth proportional to 9,309.52, 13,969.74 and 3,466 is: 5,201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.52 : 13,969.74 = 3,466 : x
  2. Step 2: Convert to fraction form
    9,309.52/13,969.74 = 3,466/x
  3. Step 3: Cross multiply
    9,309.52x = 13,969.74 × 3,466
  4. Step 4: Simplify right side
    9,309.52x = 48,419,118.84
  5. Step 5: Solve for x
    x = 48,419,118.84/9,309.52
  6. Step 6: Final answer
    x = 5,201.03

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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.