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Finding the Fourth Proportional to 6,528.94, 9,797.86 and 2,633.64

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Solution

The fourth proportional to 6,528.94, 9,797.86 and 2,633.64 is: 3,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.94 : 9,797.86 = 2,633.64 : x
  2. Step 2: Convert to fraction form
    6,528.94/9,797.86 = 2,633.64/x
  3. Step 3: Cross multiply
    6,528.94x = 9,797.86 × 2,633.64
  4. Step 4: Simplify right side
    6,528.94x = 25,804,036.01
  5. Step 5: Solve for x
    x = 25,804,036.01/6,528.94
  6. Step 6: Final answer
    x = 3,952.26

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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.