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Finding the Fourth Proportional to 6,536.72, 9,795.72 and 5,069

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Solution

The fourth proportional to 6,536.72, 9,795.72 and 5,069 is: 7,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.72 : 9,795.72 = 5,069 : x
  2. Step 2: Convert to fraction form
    6,536.72/9,795.72 = 5,069/x
  3. Step 3: Cross multiply
    6,536.72x = 9,795.72 × 5,069
  4. Step 4: Simplify right side
    6,536.72x = 49,654,504.68
  5. Step 5: Solve for x
    x = 49,654,504.68/6,536.72
  6. Step 6: Final answer
    x = 7,596.24

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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.