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Finding the Fourth Proportional to 6,442.29, 9,707.31 and 5,297.93

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Solution

The fourth proportional to 6,442.29, 9,707.31 and 5,297.93 is: 7,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.29 : 9,707.31 = 5,297.93 : x
  2. Step 2: Convert to fraction form
    6,442.29/9,707.31 = 5,297.93/x
  3. Step 3: Cross multiply
    6,442.29x = 9,707.31 × 5,297.93
  4. Step 4: Simplify right side
    6,442.29x = 51,428,600.33
  5. Step 5: Solve for x
    x = 51,428,600.33/6,442.29
  6. Step 6: Final answer
    x = 7,982.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.