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Finding the Fourth Proportional to 9,089.44, 13,631.28 and 2,932

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Solution

The fourth proportional to 9,089.44, 13,631.28 and 2,932 is: 4,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.44 : 13,631.28 = 2,932 : x
  2. Step 2: Convert to fraction form
    9,089.44/13,631.28 = 2,932/x
  3. Step 3: Cross multiply
    9,089.44x = 13,631.28 × 2,932
  4. Step 4: Simplify right side
    9,089.44x = 39,966,912.96
  5. Step 5: Solve for x
    x = 39,966,912.96/9,089.44
  6. Step 6: Final answer
    x = 4,397.07

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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.