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Finding the Fourth Proportional to 6,536.04, 9,020.20 and 3,703.42

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Solution

The fourth proportional to 6,536.04, 9,020.20 and 3,703.42 is: 5,110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.04 : 9,020.20 = 3,703.42 : x
  2. Step 2: Convert to fraction form
    6,536.04/9,020.20 = 3,703.42/x
  3. Step 3: Cross multiply
    6,536.04x = 9,020.20 × 3,703.42
  4. Step 4: Simplify right side
    6,536.04x = 33,405,589.08
  5. Step 5: Solve for x
    x = 33,405,589.08/6,536.04
  6. Step 6: Final answer
    x = 5,110.98

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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.