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Finding the Fourth Proportional to 6,474.66, 8,930.40 and 6,377.46

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Solution

The fourth proportional to 6,474.66, 8,930.40 and 6,377.46 is: 8,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.66 : 8,930.40 = 6,377.46 : x
  2. Step 2: Convert to fraction form
    6,474.66/8,930.40 = 6,377.46/x
  3. Step 3: Cross multiply
    6,474.66x = 8,930.40 × 6,377.46
  4. Step 4: Simplify right side
    6,474.66x = 56,953,268.78
  5. Step 5: Solve for x
    x = 56,953,268.78/6,474.66
  6. Step 6: Final answer
    x = 8,796.33

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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.