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Finding the Fourth Proportional to 6,880.69, 9,495.94 and 3,897.06

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Solution

The fourth proportional to 6,880.69, 9,495.94 and 3,897.06 is: 5,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.69 : 9,495.94 = 3,897.06 : x
  2. Step 2: Convert to fraction form
    6,880.69/9,495.94 = 3,897.06/x
  3. Step 3: Cross multiply
    6,880.69x = 9,495.94 × 3,897.06
  4. Step 4: Simplify right side
    6,880.69x = 37,006,229.07
  5. Step 5: Solve for x
    x = 37,006,229.07/6,880.69
  6. Step 6: Final answer
    x = 5,378.27

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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.