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Finding the Fourth Proportional to 6,880.25, 9,494.55 and 3,897.04

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Solution

The fourth proportional to 6,880.25, 9,494.55 and 3,897.04 is: 5,377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.25 : 9,494.55 = 3,897.04 : x
  2. Step 2: Convert to fraction form
    6,880.25/9,494.55 = 3,897.04/x
  3. Step 3: Cross multiply
    6,880.25x = 9,494.55 × 3,897.04
  4. Step 4: Simplify right side
    6,880.25x = 37,000,664.99
  5. Step 5: Solve for x
    x = 37,000,664.99/6,880.25
  6. Step 6: Final answer
    x = 5,377.81

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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.