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Finding the Fourth Proportional to 6,490.86, 8,954.70 and 4,793.43

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Solution

The fourth proportional to 6,490.86, 8,954.70 and 4,793.43 is: 6,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.86 : 8,954.70 = 4,793.43 : x
  2. Step 2: Convert to fraction form
    6,490.86/8,954.70 = 4,793.43/x
  3. Step 3: Cross multiply
    6,490.86x = 8,954.70 × 4,793.43
  4. Step 4: Simplify right side
    6,490.86x = 42,923,727.62
  5. Step 5: Solve for x
    x = 42,923,727.62/6,490.86
  6. Step 6: Final answer
    x = 6,612.95

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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.