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Finding the Fourth Proportional to 6,536.64, 9,020.34 and 3,552.42

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Solution

The fourth proportional to 6,536.64, 9,020.34 and 3,552.42 is: 4,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.64 : 9,020.34 = 3,552.42 : x
  2. Step 2: Convert to fraction form
    6,536.64/9,020.34 = 3,552.42/x
  3. Step 3: Cross multiply
    6,536.64x = 9,020.34 × 3,552.42
  4. Step 4: Simplify right side
    6,536.64x = 32,044,036.22
  5. Step 5: Solve for x
    x = 32,044,036.22/6,536.64
  6. Step 6: Final answer
    x = 4,902.22

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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.