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Finding the Fourth Proportional to 6,661.64, 9,193.01 and 3,677.48

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Solution

The fourth proportional to 6,661.64, 9,193.01 and 3,677.48 is: 5,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.64 : 9,193.01 = 3,677.48 : x
  2. Step 2: Convert to fraction form
    6,661.64/9,193.01 = 3,677.48/x
  3. Step 3: Cross multiply
    6,661.64x = 9,193.01 × 3,677.48
  4. Step 4: Simplify right side
    6,661.64x = 33,807,096.63
  5. Step 5: Solve for x
    x = 33,807,096.63/6,661.64
  6. Step 6: Final answer
    x = 5,074.89

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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.