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Finding the Fourth Proportional to 9,135.92, 12,603.96 and 5,822

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Solution

The fourth proportional to 9,135.92, 12,603.96 and 5,822 is: 8,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.92 : 12,603.96 = 5,822 : x
  2. Step 2: Convert to fraction form
    9,135.92/12,603.96 = 5,822/x
  3. Step 3: Cross multiply
    9,135.92x = 12,603.96 × 5,822
  4. Step 4: Simplify right side
    9,135.92x = 73,380,255.12
  5. Step 5: Solve for x
    x = 73,380,255.12/9,135.92
  6. Step 6: Final answer
    x = 8,032.06

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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.