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Finding the Fourth Proportional to 6,338.84, 9,500.72 and 2,957.09

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Solution

The fourth proportional to 6,338.84, 9,500.72 and 2,957.09 is: 4,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.84 : 9,500.72 = 2,957.09 : x
  2. Step 2: Convert to fraction form
    6,338.84/9,500.72 = 2,957.09/x
  3. Step 3: Cross multiply
    6,338.84x = 9,500.72 × 2,957.09
  4. Step 4: Simplify right side
    6,338.84x = 28,094,429.21
  5. Step 5: Solve for x
    x = 28,094,429.21/6,338.84
  6. Step 6: Final answer
    x = 4,432.11

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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.