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Finding the Fourth Proportional to 9,293.07, 12,819.03 and 5,753.76

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Solution

The fourth proportional to 9,293.07, 12,819.03 and 5,753.76 is: 7,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.07 : 12,819.03 = 5,753.76 : x
  2. Step 2: Convert to fraction form
    9,293.07/12,819.03 = 5,753.76/x
  3. Step 3: Cross multiply
    9,293.07x = 12,819.03 × 5,753.76
  4. Step 4: Simplify right side
    9,293.07x = 73,757,622.05
  5. Step 5: Solve for x
    x = 73,757,622.05/9,293.07
  6. Step 6: Final answer
    x = 7,936.84

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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.