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Finding the Fourth Proportional to 6,305.70, 9,457.21 and 2,145.63

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Solution

The fourth proportional to 6,305.70, 9,457.21 and 2,145.63 is: 3,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.70 : 9,457.21 = 2,145.63 : x
  2. Step 2: Convert to fraction form
    6,305.70/9,457.21 = 2,145.63/x
  3. Step 3: Cross multiply
    6,305.70x = 9,457.21 × 2,145.63
  4. Step 4: Simplify right side
    6,305.70x = 20,291,673.49
  5. Step 5: Solve for x
    x = 20,291,673.49/6,305.70
  6. Step 6: Final answer
    x = 3,217.99

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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.