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Finding the Fourth Proportional to 6,277.12, 8,659.69 and 3,886.46

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Solution

The fourth proportional to 6,277.12, 8,659.69 and 3,886.46 is: 5,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.12 : 8,659.69 = 3,886.46 : x
  2. Step 2: Convert to fraction form
    6,277.12/8,659.69 = 3,886.46/x
  3. Step 3: Cross multiply
    6,277.12x = 8,659.69 × 3,886.46
  4. Step 4: Simplify right side
    6,277.12x = 33,655,476.07
  5. Step 5: Solve for x
    x = 33,655,476.07/6,277.12
  6. Step 6: Final answer
    x = 5,361.62

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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.