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Finding the Fourth Proportional to 6,806.56, 9,393.32 and 4,118.64

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Solution

The fourth proportional to 6,806.56, 9,393.32 and 4,118.64 is: 5,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.56 : 9,393.32 = 4,118.64 : x
  2. Step 2: Convert to fraction form
    6,806.56/9,393.32 = 4,118.64/x
  3. Step 3: Cross multiply
    6,806.56x = 9,393.32 × 4,118.64
  4. Step 4: Simplify right side
    6,806.56x = 38,687,703.48
  5. Step 5: Solve for x
    x = 38,687,703.48/6,806.56
  6. Step 6: Final answer
    x = 5,683.88

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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.