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Finding the Fourth Proportional to 6,185.97, 9,278.96 and 2,896.76

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Solution

The fourth proportional to 6,185.97, 9,278.96 and 2,896.76 is: 4,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.97 : 9,278.96 = 2,896.76 : x
  2. Step 2: Convert to fraction form
    6,185.97/9,278.96 = 2,896.76/x
  3. Step 3: Cross multiply
    6,185.97x = 9,278.96 × 2,896.76
  4. Step 4: Simplify right side
    6,185.97x = 26,878,928.88
  5. Step 5: Solve for x
    x = 26,878,928.88/6,185.97
  6. Step 6: Final answer
    x = 4,345.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.