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Finding the Fourth Proportional to 6,475.41, 9,722.84 and 3,705.21

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Solution

The fourth proportional to 6,475.41, 9,722.84 and 3,705.21 is: 5,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.41 : 9,722.84 = 3,705.21 : x
  2. Step 2: Convert to fraction form
    6,475.41/9,722.84 = 3,705.21/x
  3. Step 3: Cross multiply
    6,475.41x = 9,722.84 × 3,705.21
  4. Step 4: Simplify right side
    6,475.41x = 36,025,164.00
  5. Step 5: Solve for x
    x = 36,025,164.00/6,475.41
  6. Step 6: Final answer
    x = 5,563.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.