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Finding the Fourth Proportional to 6,305.12, 9,457.02 and 2,145.02

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Solution

The fourth proportional to 6,305.12, 9,457.02 and 2,145.02 is: 3,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.12 : 9,457.02 = 2,145.02 : x
  2. Step 2: Convert to fraction form
    6,305.12/9,457.02 = 2,145.02/x
  3. Step 3: Cross multiply
    6,305.12x = 9,457.02 × 2,145.02
  4. Step 4: Simplify right side
    6,305.12x = 20,285,497.04
  5. Step 5: Solve for x
    x = 20,285,497.04/6,305.12
  6. Step 6: Final answer
    x = 3,217.31

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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.