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Finding the Fourth Proportional to 6,561.81, 9,843.78 and 3,275.01

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Solution

The fourth proportional to 6,561.81, 9,843.78 and 3,275.01 is: 4,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.81 : 9,843.78 = 3,275.01 : x
  2. Step 2: Convert to fraction form
    6,561.81/9,843.78 = 3,275.01/x
  3. Step 3: Cross multiply
    6,561.81x = 9,843.78 × 3,275.01
  4. Step 4: Simplify right side
    6,561.81x = 32,238,477.94
  5. Step 5: Solve for x
    x = 32,238,477.94/6,561.81
  6. Step 6: Final answer
    x = 4,913.05

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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.