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Finding the Fourth Proportional to 6,996.67, 9,653.65 and 5,667.88

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Solution

The fourth proportional to 6,996.67, 9,653.65 and 5,667.88 is: 7,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.67 : 9,653.65 = 5,667.88 : x
  2. Step 2: Convert to fraction form
    6,996.67/9,653.65 = 5,667.88/x
  3. Step 3: Cross multiply
    6,996.67x = 9,653.65 × 5,667.88
  4. Step 4: Simplify right side
    6,996.67x = 54,715,729.76
  5. Step 5: Solve for x
    x = 54,715,729.76/6,996.67
  6. Step 6: Final answer
    x = 7,820.25

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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.