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Finding the Fourth Proportional to 6,642.11, 9,166.01 and 3,657.94

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Solution

The fourth proportional to 6,642.11, 9,166.01 and 3,657.94 is: 5,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.11 : 9,166.01 = 3,657.94 : x
  2. Step 2: Convert to fraction form
    6,642.11/9,166.01 = 3,657.94/x
  3. Step 3: Cross multiply
    6,642.11x = 9,166.01 × 3,657.94
  4. Step 4: Simplify right side
    6,642.11x = 33,528,737.53
  5. Step 5: Solve for x
    x = 33,528,737.53/6,642.11
  6. Step 6: Final answer
    x = 5,047.90

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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.