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Finding the Fourth Proportional to 6,457.91, 9,694.16 and 2,565.05

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Solution

The fourth proportional to 6,457.91, 9,694.16 and 2,565.05 is: 3,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.91 : 9,694.16 = 2,565.05 : x
  2. Step 2: Convert to fraction form
    6,457.91/9,694.16 = 2,565.05/x
  3. Step 3: Cross multiply
    6,457.91x = 9,694.16 × 2,565.05
  4. Step 4: Simplify right side
    6,457.91x = 24,866,005.11
  5. Step 5: Solve for x
    x = 24,866,005.11/6,457.91
  6. Step 6: Final answer
    x = 3,850.47

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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.