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Finding the Fourth Proportional to 6,642.91, 9,166.26 and 3,810.41

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Solution

The fourth proportional to 6,642.91, 9,166.26 and 3,810.41 is: 5,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.91 : 9,166.26 = 3,810.41 : x
  2. Step 2: Convert to fraction form
    6,642.91/9,166.26 = 3,810.41/x
  3. Step 3: Cross multiply
    6,642.91x = 9,166.26 × 3,810.41
  4. Step 4: Simplify right side
    6,642.91x = 34,927,208.77
  5. Step 5: Solve for x
    x = 34,927,208.77/6,642.91
  6. Step 6: Final answer
    x = 5,257.82

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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.