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Finding the Fourth Proportional to 6,559.05, 9,838.65 and 5,251.12

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Solution

The fourth proportional to 6,559.05, 9,838.65 and 5,251.12 is: 7,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.05 : 9,838.65 = 5,251.12 : x
  2. Step 2: Convert to fraction form
    6,559.05/9,838.65 = 5,251.12/x
  3. Step 3: Cross multiply
    6,559.05x = 9,838.65 × 5,251.12
  4. Step 4: Simplify right side
    6,559.05x = 51,663,856.34
  5. Step 5: Solve for x
    x = 51,663,856.34/6,559.05
  6. Step 6: Final answer
    x = 7,876.73

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