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Finding the Fourth Proportional to 29,261.12, 43,896.36 and 9,538.16

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Solution

The fourth proportional to 29,261.12, 43,896.36 and 9,538.16 is: 14,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,261.12 : 43,896.36 = 9,538.16 : x
  2. Step 2: Convert to fraction form
    29,261.12/43,896.36 = 9,538.16/x
  3. Step 3: Cross multiply
    29,261.12x = 43,896.36 × 9,538.16
  4. Step 4: Simplify right side
    29,261.12x = 418,690,505.10
  5. Step 5: Solve for x
    x = 418,690,505.10/29,261.12
  6. Step 6: Final answer
    x = 14,308.77

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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.