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Finding the Fourth Proportional to 9,378.69, 12,942.10 and 5,128.92

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Solution

The fourth proportional to 9,378.69, 12,942.10 and 5,128.92 is: 7,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.69 : 12,942.10 = 5,128.92 : x
  2. Step 2: Convert to fraction form
    9,378.69/12,942.10 = 5,128.92/x
  3. Step 3: Cross multiply
    9,378.69x = 12,942.10 × 5,128.92
  4. Step 4: Simplify right side
    9,378.69x = 66,378,930.82
  5. Step 5: Solve for x
    x = 66,378,930.82/9,378.69
  6. Step 6: Final answer
    x = 7,077.64

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