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Finding the Fourth Proportional to 6,996.16, 9,654.50 and 3,809.52

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Solution

The fourth proportional to 6,996.16, 9,654.50 and 3,809.52 is: 5,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.16 : 9,654.50 = 3,809.52 : x
  2. Step 2: Convert to fraction form
    6,996.16/9,654.50 = 3,809.52/x
  3. Step 3: Cross multiply
    6,996.16x = 9,654.50 × 3,809.52
  4. Step 4: Simplify right side
    6,996.16x = 36,779,010.84
  5. Step 5: Solve for x
    x = 36,779,010.84/6,996.16
  6. Step 6: Final answer
    x = 5,257.03

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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.