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Finding the Fourth Proportional to 6,775.93, 9,348.24 and 4,122.37

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Solution

The fourth proportional to 6,775.93, 9,348.24 and 4,122.37 is: 5,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.93 : 9,348.24 = 4,122.37 : x
  2. Step 2: Convert to fraction form
    6,775.93/9,348.24 = 4,122.37/x
  3. Step 3: Cross multiply
    6,775.93x = 9,348.24 × 4,122.37
  4. Step 4: Simplify right side
    6,775.93x = 38,536,904.13
  5. Step 5: Solve for x
    x = 38,536,904.13/6,775.93
  6. Step 6: Final answer
    x = 5,687.32

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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.