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Finding the Fourth Proportional to 6,536.14, 9,805.32 and 3,029.68

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Solution

The fourth proportional to 6,536.14, 9,805.32 and 3,029.68 is: 4,545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.14 : 9,805.32 = 3,029.68 : x
  2. Step 2: Convert to fraction form
    6,536.14/9,805.32 = 3,029.68/x
  3. Step 3: Cross multiply
    6,536.14x = 9,805.32 × 3,029.68
  4. Step 4: Simplify right side
    6,536.14x = 29,706,981.90
  5. Step 5: Solve for x
    x = 29,706,981.90/6,536.14
  6. Step 6: Final answer
    x = 4,545.03

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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.