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Finding the Fourth Proportional to 9,667.86, 13,336.08 and 5,688.24

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Solution

The fourth proportional to 9,667.86, 13,336.08 and 5,688.24 is: 7,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.86 : 13,336.08 = 5,688.24 : x
  2. Step 2: Convert to fraction form
    9,667.86/13,336.08 = 5,688.24/x
  3. Step 3: Cross multiply
    9,667.86x = 13,336.08 × 5,688.24
  4. Step 4: Simplify right side
    9,667.86x = 75,858,823.70
  5. Step 5: Solve for x
    x = 75,858,823.70/9,667.86
  6. Step 6: Final answer
    x = 7,846.50

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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.