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Finding the Fourth Proportional to 6,471.02, 8,929.78 and 3,638.32

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Solution

The fourth proportional to 6,471.02, 8,929.78 and 3,638.32 is: 5,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.02 : 8,929.78 = 3,638.32 : x
  2. Step 2: Convert to fraction form
    6,471.02/8,929.78 = 3,638.32/x
  3. Step 3: Cross multiply
    6,471.02x = 8,929.78 × 3,638.32
  4. Step 4: Simplify right side
    6,471.02x = 32,489,365.75
  5. Step 5: Solve for x
    x = 32,489,365.75/6,471.02
  6. Step 6: Final answer
    x = 5,020.75

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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.