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Finding the Fourth Proportional to 9,766.89, 13,469.63 and 7,667.37

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Solution

The fourth proportional to 9,766.89, 13,469.63 and 7,667.37 is: 10,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.89 : 13,469.63 = 7,667.37 : x
  2. Step 2: Convert to fraction form
    9,766.89/13,469.63 = 7,667.37/x
  3. Step 3: Cross multiply
    9,766.89x = 13,469.63 × 7,667.37
  4. Step 4: Simplify right side
    9,766.89x = 103,276,598.64
  5. Step 5: Solve for x
    x = 103,276,598.64/9,766.89
  6. Step 6: Final answer
    x = 10,574.15

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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.