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Finding the Fourth Proportional to 6,576.89, 9,074.48 and 4,222.22

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Solution

The fourth proportional to 6,576.89, 9,074.48 and 4,222.22 is: 5,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.89 : 9,074.48 = 4,222.22 : x
  2. Step 2: Convert to fraction form
    6,576.89/9,074.48 = 4,222.22/x
  3. Step 3: Cross multiply
    6,576.89x = 9,074.48 × 4,222.22
  4. Step 4: Simplify right side
    6,576.89x = 38,314,384.46
  5. Step 5: Solve for x
    x = 38,314,384.46/6,576.89
  6. Step 6: Final answer
    x = 5,825.61

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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.