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Finding the Fourth Proportional to 6,223.84, 9,333.02 and 1,841.64

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Solution

The fourth proportional to 6,223.84, 9,333.02 and 1,841.64 is: 2,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.84 : 9,333.02 = 1,841.64 : x
  2. Step 2: Convert to fraction form
    6,223.84/9,333.02 = 1,841.64/x
  3. Step 3: Cross multiply
    6,223.84x = 9,333.02 × 1,841.64
  4. Step 4: Simplify right side
    6,223.84x = 17,188,032.56
  5. Step 5: Solve for x
    x = 17,188,032.56/6,223.84
  6. Step 6: Final answer
    x = 2,761.65

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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.