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Finding the Fourth Proportional to 9,127.62, 12,603.33 and 5,942.43

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Solution

The fourth proportional to 9,127.62, 12,603.33 and 5,942.43 is: 8,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.62 : 12,603.33 = 5,942.43 : x
  2. Step 2: Convert to fraction form
    9,127.62/12,603.33 = 5,942.43/x
  3. Step 3: Cross multiply
    9,127.62x = 12,603.33 × 5,942.43
  4. Step 4: Simplify right side
    9,127.62x = 74,894,406.29
  5. Step 5: Solve for x
    x = 74,894,406.29/9,127.62
  6. Step 6: Final answer
    x = 8,205.25

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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.