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Finding the Fourth Proportional to 6,720.66, 9,274.37 and 3,736.40

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Solution

The fourth proportional to 6,720.66, 9,274.37 and 3,736.40 is: 5,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.66 : 9,274.37 = 3,736.40 : x
  2. Step 2: Convert to fraction form
    6,720.66/9,274.37 = 3,736.40/x
  3. Step 3: Cross multiply
    6,720.66x = 9,274.37 × 3,736.40
  4. Step 4: Simplify right side
    6,720.66x = 34,652,691.01
  5. Step 5: Solve for x
    x = 34,652,691.01/6,720.66
  6. Step 6: Final answer
    x = 5,156.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.