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Finding the Fourth Proportional to 6,853.40, 9,457.77 and 4,020.82

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Solution

The fourth proportional to 6,853.40, 9,457.77 and 4,020.82 is: 5,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.40 : 9,457.77 = 4,020.82 : x
  2. Step 2: Convert to fraction form
    6,853.40/9,457.77 = 4,020.82/x
  3. Step 3: Cross multiply
    6,853.40x = 9,457.77 × 4,020.82
  4. Step 4: Simplify right side
    6,853.40x = 38,028,002.59
  5. Step 5: Solve for x
    x = 38,028,002.59/6,853.40
  6. Step 6: Final answer
    x = 5,548.78

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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.