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Finding the Fourth Proportional to 6,809.41, 9,397.23 and 3,978.58

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Solution

The fourth proportional to 6,809.41, 9,397.23 and 3,978.58 is: 5,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.41 : 9,397.23 = 3,978.58 : x
  2. Step 2: Convert to fraction form
    6,809.41/9,397.23 = 3,978.58/x
  3. Step 3: Cross multiply
    6,809.41x = 9,397.23 × 3,978.58
  4. Step 4: Simplify right side
    6,809.41x = 37,387,631.33
  5. Step 5: Solve for x
    x = 37,387,631.33/6,809.41
  6. Step 6: Final answer
    x = 5,490.58

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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.