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Finding the Fourth Proportional to 9,297.68, 12,830.76 and 5,105.84

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Solution

The fourth proportional to 9,297.68, 12,830.76 and 5,105.84 is: 7,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.68 : 12,830.76 = 5,105.84 : x
  2. Step 2: Convert to fraction form
    9,297.68/12,830.76 = 5,105.84/x
  3. Step 3: Cross multiply
    9,297.68x = 12,830.76 × 5,105.84
  4. Step 4: Simplify right side
    9,297.68x = 65,511,807.64
  5. Step 5: Solve for x
    x = 65,511,807.64/9,297.68
  6. Step 6: Final answer
    x = 7,046.04

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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.