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Finding the Fourth Proportional to 9,378.59, 12,942.18 and 5,399.66

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Solution

The fourth proportional to 9,378.59, 12,942.18 and 5,399.66 is: 7,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.59 : 12,942.18 = 5,399.66 : x
  2. Step 2: Convert to fraction form
    9,378.59/12,942.18 = 5,399.66/x
  3. Step 3: Cross multiply
    9,378.59x = 12,942.18 × 5,399.66
  4. Step 4: Simplify right side
    9,378.59x = 69,883,404.01
  5. Step 5: Solve for x
    x = 69,883,404.01/9,378.59
  6. Step 6: Final answer
    x = 7,451.38

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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.