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Finding the Fourth Proportional to 9,296.74, 12,826.38 and 5,941.52

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Solution

The fourth proportional to 9,296.74, 12,826.38 and 5,941.52 is: 8,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.74 : 12,826.38 = 5,941.52 : x
  2. Step 2: Convert to fraction form
    9,296.74/12,826.38 = 5,941.52/x
  3. Step 3: Cross multiply
    9,296.74x = 12,826.38 × 5,941.52
  4. Step 4: Simplify right side
    9,296.74x = 76,208,193.30
  5. Step 5: Solve for x
    x = 76,208,193.30/9,296.74
  6. Step 6: Final answer
    x = 8,197.30

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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.