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Finding the Fourth Proportional to 6,659.40, 9,189.65 and 3,824.77

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Solution

The fourth proportional to 6,659.40, 9,189.65 and 3,824.77 is: 5,278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.40 : 9,189.65 = 3,824.77 : x
  2. Step 2: Convert to fraction form
    6,659.40/9,189.65 = 3,824.77/x
  3. Step 3: Cross multiply
    6,659.40x = 9,189.65 × 3,824.77
  4. Step 4: Simplify right side
    6,659.40x = 35,148,297.63
  5. Step 5: Solve for x
    x = 35,148,297.63/6,659.40
  6. Step 6: Final answer
    x = 5,278.00

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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.