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Finding the Fourth Proportional to 6,552.69, 9,045.81 and 4,196.21

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Solution

The fourth proportional to 6,552.69, 9,045.81 and 4,196.21 is: 5,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.69 : 9,045.81 = 4,196.21 : x
  2. Step 2: Convert to fraction form
    6,552.69/9,045.81 = 4,196.21/x
  3. Step 3: Cross multiply
    6,552.69x = 9,045.81 × 4,196.21
  4. Step 4: Simplify right side
    6,552.69x = 37,958,073.15
  5. Step 5: Solve for x
    x = 37,958,073.15/6,552.69
  6. Step 6: Final answer
    x = 5,792.75

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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.