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Finding the Fourth Proportional to 6,853.61, 9,457.41 and 4,020.68

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Solution

The fourth proportional to 6,853.61, 9,457.41 and 4,020.68 is: 5,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.61 : 9,457.41 = 4,020.68 : x
  2. Step 2: Convert to fraction form
    6,853.61/9,457.41 = 4,020.68/x
  3. Step 3: Cross multiply
    6,853.61x = 9,457.41 × 4,020.68
  4. Step 4: Simplify right side
    6,853.61x = 38,025,219.24
  5. Step 5: Solve for x
    x = 38,025,219.24/6,853.61
  6. Step 6: Final answer
    x = 5,548.20

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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.