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Finding the Fourth Proportional to 6,775.26, 9,349.86 and 4,122.18

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Solution

The fourth proportional to 6,775.26, 9,349.86 and 4,122.18 is: 5,688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.26 : 9,349.86 = 4,122.18 : x
  2. Step 2: Convert to fraction form
    6,775.26/9,349.86 = 4,122.18/x
  3. Step 3: Cross multiply
    6,775.26x = 9,349.86 × 4,122.18
  4. Step 4: Simplify right side
    6,775.26x = 38,541,805.89
  5. Step 5: Solve for x
    x = 38,541,805.89/6,775.26
  6. Step 6: Final answer
    x = 5,688.61

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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.