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Finding the Fourth Proportional to 9,679.92, 13,357.72 and 5,700.12

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Solution

The fourth proportional to 9,679.92, 13,357.72 and 5,700.12 is: 7,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.92 : 13,357.72 = 5,700.12 : x
  2. Step 2: Convert to fraction form
    9,679.92/13,357.72 = 5,700.12/x
  3. Step 3: Cross multiply
    9,679.92x = 13,357.72 × 5,700.12
  4. Step 4: Simplify right side
    9,679.92x = 76,140,606.93
  5. Step 5: Solve for x
    x = 76,140,606.93/9,679.92
  6. Step 6: Final answer
    x = 7,865.83

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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.