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Finding the Fourth Proportional to 6,555.22, 9,824.63 and 5,163.06

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Solution

The fourth proportional to 6,555.22, 9,824.63 and 5,163.06 is: 7,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.22 : 9,824.63 = 5,163.06 : x
  2. Step 2: Convert to fraction form
    6,555.22/9,824.63 = 5,163.06/x
  3. Step 3: Cross multiply
    6,555.22x = 9,824.63 × 5,163.06
  4. Step 4: Simplify right side
    6,555.22x = 50,725,154.17
  5. Step 5: Solve for x
    x = 50,725,154.17/6,555.22
  6. Step 6: Final answer
    x = 7,738.13

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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.