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Finding the Fourth Proportional to 6,550.02, 9,824.12 and 3,429

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Solution

The fourth proportional to 6,550.02, 9,824.12 and 3,429 is: 5,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.02 : 9,824.12 = 3,429 : x
  2. Step 2: Convert to fraction form
    6,550.02/9,824.12 = 3,429/x
  3. Step 3: Cross multiply
    6,550.02x = 9,824.12 × 3,429
  4. Step 4: Simplify right side
    6,550.02x = 33,686,907.48
  5. Step 5: Solve for x
    x = 33,686,907.48/6,550.02
  6. Step 6: Final answer
    x = 5,143.02

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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.