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Finding the Fourth Proportional to 6,822.63, 9,417.72 and 4,306.39

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Solution

The fourth proportional to 6,822.63, 9,417.72 and 4,306.39 is: 5,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.63 : 9,417.72 = 4,306.39 : x
  2. Step 2: Convert to fraction form
    6,822.63/9,417.72 = 4,306.39/x
  3. Step 3: Cross multiply
    6,822.63x = 9,417.72 × 4,306.39
  4. Step 4: Simplify right side
    6,822.63x = 40,556,370.10
  5. Step 5: Solve for x
    x = 40,556,370.10/6,822.63
  6. Step 6: Final answer
    x = 5,944.39

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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.