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Finding the Fourth Proportional to 6,417.48, 8,853.74 and 3,763.92

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Solution

The fourth proportional to 6,417.48, 8,853.74 and 3,763.92 is: 5,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.48 : 8,853.74 = 3,763.92 : x
  2. Step 2: Convert to fraction form
    6,417.48/8,853.74 = 3,763.92/x
  3. Step 3: Cross multiply
    6,417.48x = 8,853.74 × 3,763.92
  4. Step 4: Simplify right side
    6,417.48x = 33,324,769.06
  5. Step 5: Solve for x
    x = 33,324,769.06/6,417.48
  6. Step 6: Final answer
    x = 5,192.81

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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.