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Finding the Fourth Proportional to 29,864.12, 44,794.56 and 9,086

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Solution

The fourth proportional to 29,864.12, 44,794.56 and 9,086 is: 13,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,864.12 : 44,794.56 = 9,086 : x
  2. Step 2: Convert to fraction form
    29,864.12/44,794.56 = 9,086/x
  3. Step 3: Cross multiply
    29,864.12x = 44,794.56 × 9,086
  4. Step 4: Simplify right side
    29,864.12x = 407,003,372.16
  5. Step 5: Solve for x
    x = 407,003,372.16/29,864.12
  6. Step 6: Final answer
    x = 13,628.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.