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Finding the Fourth Proportional to 7,074.99, 9,753.72 and 5,644.21

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Solution

The fourth proportional to 7,074.99, 9,753.72 and 5,644.21 is: 7,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.99 : 9,753.72 = 5,644.21 : x
  2. Step 2: Convert to fraction form
    7,074.99/9,753.72 = 5,644.21/x
  3. Step 3: Cross multiply
    7,074.99x = 9,753.72 × 5,644.21
  4. Step 4: Simplify right side
    7,074.99x = 55,052,019.58
  5. Step 5: Solve for x
    x = 55,052,019.58/7,074.99
  6. Step 6: Final answer
    x = 7,781.22

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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.