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Finding the Fourth Proportional to 6,358.05, 9,533.84 and 2,463.57

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Solution

The fourth proportional to 6,358.05, 9,533.84 and 2,463.57 is: 3,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.05 : 9,533.84 = 2,463.57 : x
  2. Step 2: Convert to fraction form
    6,358.05/9,533.84 = 2,463.57/x
  3. Step 3: Cross multiply
    6,358.05x = 9,533.84 × 2,463.57
  4. Step 4: Simplify right side
    6,358.05x = 23,487,269.89
  5. Step 5: Solve for x
    x = 23,487,269.89/6,358.05
  6. Step 6: Final answer
    x = 3,694.10

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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.