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Finding the Fourth Proportional to 6,532.95, 9,801.81 and 2,150.40

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Solution

The fourth proportional to 6,532.95, 9,801.81 and 2,150.40 is: 3,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.95 : 9,801.81 = 2,150.40 : x
  2. Step 2: Convert to fraction form
    6,532.95/9,801.81 = 2,150.40/x
  3. Step 3: Cross multiply
    6,532.95x = 9,801.81 × 2,150.40
  4. Step 4: Simplify right side
    6,532.95x = 21,077,812.22
  5. Step 5: Solve for x
    x = 21,077,812.22/6,532.95
  6. Step 6: Final answer
    x = 3,226.39

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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.