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Finding the Fourth Proportional to 6,471.70, 8,934.42 and 4,350.64

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Solution

The fourth proportional to 6,471.70, 8,934.42 and 4,350.64 is: 6,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.70 : 8,934.42 = 4,350.64 : x
  2. Step 2: Convert to fraction form
    6,471.70/8,934.42 = 4,350.64/x
  3. Step 3: Cross multiply
    6,471.70x = 8,934.42 × 4,350.64
  4. Step 4: Simplify right side
    6,471.70x = 38,870,445.03
  5. Step 5: Solve for x
    x = 38,870,445.03/6,471.70
  6. Step 6: Final answer
    x = 6,006.22

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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.