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Finding the Fourth Proportional to 6,464.08, 8,923.84 and 4,350.72

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Solution

The fourth proportional to 6,464.08, 8,923.84 and 4,350.72 is: 6,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.08 : 8,923.84 = 4,350.72 : x
  2. Step 2: Convert to fraction form
    6,464.08/8,923.84 = 4,350.72/x
  3. Step 3: Cross multiply
    6,464.08x = 8,923.84 × 4,350.72
  4. Step 4: Simplify right side
    6,464.08x = 38,825,107.41
  5. Step 5: Solve for x
    x = 38,825,107.41/6,464.08
  6. Step 6: Final answer
    x = 6,006.29

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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.