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Finding the Fourth Proportional to 9,760.86, 13,456.92 and 6,398.42

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Solution

The fourth proportional to 9,760.86, 13,456.92 and 6,398.42 is: 8,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.86 : 13,456.92 = 6,398.42 : x
  2. Step 2: Convert to fraction form
    9,760.86/13,456.92 = 6,398.42/x
  3. Step 3: Cross multiply
    9,760.86x = 13,456.92 × 6,398.42
  4. Step 4: Simplify right side
    9,760.86x = 86,103,026.07
  5. Step 5: Solve for x
    x = 86,103,026.07/9,760.86
  6. Step 6: Final answer
    x = 8,821.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.