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Finding the Fourth Proportional to 6,853.46, 9,457.25 and 3,869.59

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Solution

The fourth proportional to 6,853.46, 9,457.25 and 3,869.59 is: 5,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.46 : 9,457.25 = 3,869.59 : x
  2. Step 2: Convert to fraction form
    6,853.46/9,457.25 = 3,869.59/x
  3. Step 3: Cross multiply
    6,853.46x = 9,457.25 × 3,869.59
  4. Step 4: Simplify right side
    6,853.46x = 36,595,665.65
  5. Step 5: Solve for x
    x = 36,595,665.65/6,853.46
  6. Step 6: Final answer
    x = 5,339.74

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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.