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Finding the Fourth Proportional to 9,077.22, 13,592.07 and 5,947.38

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Solution

The fourth proportional to 9,077.22, 13,592.07 and 5,947.38 is: 8,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.22 : 13,592.07 = 5,947.38 : x
  2. Step 2: Convert to fraction form
    9,077.22/13,592.07 = 5,947.38/x
  3. Step 3: Cross multiply
    9,077.22x = 13,592.07 × 5,947.38
  4. Step 4: Simplify right side
    9,077.22x = 80,837,205.28
  5. Step 5: Solve for x
    x = 80,837,205.28/9,077.22
  6. Step 6: Final answer
    x = 8,905.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.