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Finding the Fourth Proportional to 6,291.86, 9,436.56 and 5,979.66

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Solution

The fourth proportional to 6,291.86, 9,436.56 and 5,979.66 is: 8,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.86 : 9,436.56 = 5,979.66 : x
  2. Step 2: Convert to fraction form
    6,291.86/9,436.56 = 5,979.66/x
  3. Step 3: Cross multiply
    6,291.86x = 9,436.56 × 5,979.66
  4. Step 4: Simplify right side
    6,291.86x = 56,427,420.37
  5. Step 5: Solve for x
    x = 56,427,420.37/6,291.86
  6. Step 6: Final answer
    x = 8,968.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.