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Finding the Fourth Proportional to 9,667.89, 14,504.13 and 6,887.70

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Solution

The fourth proportional to 9,667.89, 14,504.13 and 6,887.70 is: 10,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.89 : 14,504.13 = 6,887.70 : x
  2. Step 2: Convert to fraction form
    9,667.89/14,504.13 = 6,887.70/x
  3. Step 3: Cross multiply
    9,667.89x = 14,504.13 × 6,887.70
  4. Step 4: Simplify right side
    9,667.89x = 99,900,096.20
  5. Step 5: Solve for x
    x = 99,900,096.20/9,667.89
  6. Step 6: Final answer
    x = 10,333.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.