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Finding the Fourth Proportional to 6,816.78, 9,407.42 and 4,165.38

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Solution

The fourth proportional to 6,816.78, 9,407.42 and 4,165.38 is: 5,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.78 : 9,407.42 = 4,165.38 : x
  2. Step 2: Convert to fraction form
    6,816.78/9,407.42 = 4,165.38/x
  3. Step 3: Cross multiply
    6,816.78x = 9,407.42 × 4,165.38
  4. Step 4: Simplify right side
    6,816.78x = 39,185,479.12
  5. Step 5: Solve for x
    x = 39,185,479.12/6,816.78
  6. Step 6: Final answer
    x = 5,748.39

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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.