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Finding the Fourth Proportional to 9,089.96, 12,544.42 and 5,904.04

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Solution

The fourth proportional to 9,089.96, 12,544.42 and 5,904.04 is: 8,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.96 : 12,544.42 = 5,904.04 : x
  2. Step 2: Convert to fraction form
    9,089.96/12,544.42 = 5,904.04/x
  3. Step 3: Cross multiply
    9,089.96x = 12,544.42 × 5,904.04
  4. Step 4: Simplify right side
    9,089.96x = 74,062,757.46
  5. Step 5: Solve for x
    x = 74,062,757.46/9,089.96
  6. Step 6: Final answer
    x = 8,147.75

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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.