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Finding the Fourth Proportional to 9,151.38, 12,622.23 and 5,794.74

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Solution

The fourth proportional to 9,151.38, 12,622.23 and 5,794.74 is: 7,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.38 : 12,622.23 = 5,794.74 : x
  2. Step 2: Convert to fraction form
    9,151.38/12,622.23 = 5,794.74/x
  3. Step 3: Cross multiply
    9,151.38x = 12,622.23 × 5,794.74
  4. Step 4: Simplify right side
    9,151.38x = 73,142,541.07
  5. Step 5: Solve for x
    x = 73,142,541.07/9,151.38
  6. Step 6: Final answer
    x = 7,992.51

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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.