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Finding the Fourth Proportional to 6,532.90, 9,784.95 and 3,451.30

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Solution

The fourth proportional to 6,532.90, 9,784.95 and 3,451.30 is: 5,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.90 : 9,784.95 = 3,451.30 : x
  2. Step 2: Convert to fraction form
    6,532.90/9,784.95 = 3,451.30/x
  3. Step 3: Cross multiply
    6,532.90x = 9,784.95 × 3,451.30
  4. Step 4: Simplify right side
    6,532.90x = 33,770,797.94
  5. Step 5: Solve for x
    x = 33,770,797.94/6,532.90
  6. Step 6: Final answer
    x = 5,169.34

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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.