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Finding the Fourth Proportional to 6,880.83, 9,496.07 and 3,897.11

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Solution

The fourth proportional to 6,880.83, 9,496.07 and 3,897.11 is: 5,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.83 : 9,496.07 = 3,897.11 : x
  2. Step 2: Convert to fraction form
    6,880.83/9,496.07 = 3,897.11/x
  3. Step 3: Cross multiply
    6,880.83x = 9,496.07 × 3,897.11
  4. Step 4: Simplify right side
    6,880.83x = 37,007,248.23
  5. Step 5: Solve for x
    x = 37,007,248.23/6,880.83
  6. Step 6: Final answer
    x = 5,378.31

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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.