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Finding the Fourth Proportional to 6,412.24, 9,593.05 and 4,856.73

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Solution

The fourth proportional to 6,412.24, 9,593.05 and 4,856.73 is: 7,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.24 : 9,593.05 = 4,856.73 : x
  2. Step 2: Convert to fraction form
    6,412.24/9,593.05 = 4,856.73/x
  3. Step 3: Cross multiply
    6,412.24x = 9,593.05 × 4,856.73
  4. Step 4: Simplify right side
    6,412.24x = 46,590,853.73
  5. Step 5: Solve for x
    x = 46,590,853.73/6,412.24
  6. Step 6: Final answer
    x = 7,265.92

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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.