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Finding the Fourth Proportional to 6,838.72, 9,434.72 and 4,043.20

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Solution

The fourth proportional to 6,838.72, 9,434.72 and 4,043.20 is: 5,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.72 : 9,434.72 = 4,043.20 : x
  2. Step 2: Convert to fraction form
    6,838.72/9,434.72 = 4,043.20/x
  3. Step 3: Cross multiply
    6,838.72x = 9,434.72 × 4,043.20
  4. Step 4: Simplify right side
    6,838.72x = 38,146,459.90
  5. Step 5: Solve for x
    x = 38,146,459.90/6,838.72
  6. Step 6: Final answer
    x = 5,578.01

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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.