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Finding the Fourth Proportional to 9,353.28, 12,907.50 and 5,161.50

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Solution

The fourth proportional to 9,353.28, 12,907.50 and 5,161.50 is: 7,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.28 : 12,907.50 = 5,161.50 : x
  2. Step 2: Convert to fraction form
    9,353.28/12,907.50 = 5,161.50/x
  3. Step 3: Cross multiply
    9,353.28x = 12,907.50 × 5,161.50
  4. Step 4: Simplify right side
    9,353.28x = 66,622,061.25
  5. Step 5: Solve for x
    x = 66,622,061.25/9,353.28
  6. Step 6: Final answer
    x = 7,122.86

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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.