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Finding the Fourth Proportional to 9,297.92, 12,830.72 and 5,105.92

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Solution

The fourth proportional to 9,297.92, 12,830.72 and 5,105.92 is: 7,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.92 : 12,830.72 = 5,105.92 : x
  2. Step 2: Convert to fraction form
    9,297.92/12,830.72 = 5,105.92/x
  3. Step 3: Cross multiply
    9,297.92x = 12,830.72 × 5,105.92
  4. Step 4: Simplify right side
    9,297.92x = 65,512,629.86
  5. Step 5: Solve for x
    x = 65,512,629.86/9,297.92
  6. Step 6: Final answer
    x = 7,045.94

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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.