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Finding the Fourth Proportional to 9,250.22, 12,769.52 and 5,897.63

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Solution

The fourth proportional to 9,250.22, 12,769.52 and 5,897.63 is: 8,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.22 : 12,769.52 = 5,897.63 : x
  2. Step 2: Convert to fraction form
    9,250.22/12,769.52 = 5,897.63/x
  3. Step 3: Cross multiply
    9,250.22x = 12,769.52 × 5,897.63
  4. Step 4: Simplify right side
    9,250.22x = 75,309,810.90
  5. Step 5: Solve for x
    x = 75,309,810.90/9,250.22
  6. Step 6: Final answer
    x = 8,141.41

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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.