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Finding the Fourth Proportional to 9,715.48, 13,406.92 and 5,944.92

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Solution

The fourth proportional to 9,715.48, 13,406.92 and 5,944.92 is: 8,203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.48 : 13,406.92 = 5,944.92 : x
  2. Step 2: Convert to fraction form
    9,715.48/13,406.92 = 5,944.92/x
  3. Step 3: Cross multiply
    9,715.48x = 13,406.92 × 5,944.92
  4. Step 4: Simplify right side
    9,715.48x = 79,703,066.85
  5. Step 5: Solve for x
    x = 79,703,066.85/9,715.48
  6. Step 6: Final answer
    x = 8,203.72

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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.