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Finding the Fourth Proportional to 9,667.49, 13,339.89 and 5,687.15

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Solution

The fourth proportional to 9,667.49, 13,339.89 and 5,687.15 is: 7,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.49 : 13,339.89 = 5,687.15 : x
  2. Step 2: Convert to fraction form
    9,667.49/13,339.89 = 5,687.15/x
  3. Step 3: Cross multiply
    9,667.49x = 13,339.89 × 5,687.15
  4. Step 4: Simplify right side
    9,667.49x = 75,865,888.71
  5. Step 5: Solve for x
    x = 75,865,888.71/9,667.49
  6. Step 6: Final answer
    x = 7,847.53

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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.