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Finding the Fourth Proportional to 6,286.16, 9,429.40 and 4,338

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Solution

The fourth proportional to 6,286.16, 9,429.40 and 4,338 is: 6,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.16 : 9,429.40 = 4,338 : x
  2. Step 2: Convert to fraction form
    6,286.16/9,429.40 = 4,338/x
  3. Step 3: Cross multiply
    6,286.16x = 9,429.40 × 4,338
  4. Step 4: Simplify right side
    6,286.16x = 40,904,737.20
  5. Step 5: Solve for x
    x = 40,904,737.20/6,286.16
  6. Step 6: Final answer
    x = 6,507.11

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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.