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Finding the Fourth Proportional to 6,182.88, 9,277.37 and 2,896.20

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Solution

The fourth proportional to 6,182.88, 9,277.37 and 2,896.20 is: 4,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.88 : 9,277.37 = 2,896.20 : x
  2. Step 2: Convert to fraction form
    6,182.88/9,277.37 = 2,896.20/x
  3. Step 3: Cross multiply
    6,182.88x = 9,277.37 × 2,896.20
  4. Step 4: Simplify right side
    6,182.88x = 26,869,104.51
  5. Step 5: Solve for x
    x = 26,869,104.51/6,182.88
  6. Step 6: Final answer
    x = 4,345.73

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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.