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Finding the Fourth Proportional to 9,318.46, 12,857.78 and 5,338.66

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Solution

The fourth proportional to 9,318.46, 12,857.78 and 5,338.66 is: 7,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.46 : 12,857.78 = 5,338.66 : x
  2. Step 2: Convert to fraction form
    9,318.46/12,857.78 = 5,338.66/x
  3. Step 3: Cross multiply
    9,318.46x = 12,857.78 × 5,338.66
  4. Step 4: Simplify right side
    9,318.46x = 68,643,315.77
  5. Step 5: Solve for x
    x = 68,643,315.77/9,318.46
  6. Step 6: Final answer
    x = 7,366.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.