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Finding the Fourth Proportional to 6,641.63, 9,165.27 and 3,809.48

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Solution

The fourth proportional to 6,641.63, 9,165.27 and 3,809.48 is: 5,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.63 : 9,165.27 = 3,809.48 : x
  2. Step 2: Convert to fraction form
    6,641.63/9,165.27 = 3,809.48/x
  3. Step 3: Cross multiply
    6,641.63x = 9,165.27 × 3,809.48
  4. Step 4: Simplify right side
    6,641.63x = 34,914,912.76
  5. Step 5: Solve for x
    x = 34,914,912.76/6,641.63
  6. Step 6: Final answer
    x = 5,256.98

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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.