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Finding the Fourth Proportional to 6,642.33, 9,166.26 and 4,284.47

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Solution

The fourth proportional to 6,642.33, 9,166.26 and 4,284.47 is: 5,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.33 : 9,166.26 = 4,284.47 : x
  2. Step 2: Convert to fraction form
    6,642.33/9,166.26 = 4,284.47/x
  3. Step 3: Cross multiply
    6,642.33x = 9,166.26 × 4,284.47
  4. Step 4: Simplify right side
    6,642.33x = 39,272,579.18
  5. Step 5: Solve for x
    x = 39,272,579.18/6,642.33
  6. Step 6: Final answer
    x = 5,912.47

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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.