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Finding the Fourth Proportional to 6,881.30, 9,496.02 and 3,897.42

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Solution

The fourth proportional to 6,881.30, 9,496.02 and 3,897.42 is: 5,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.30 : 9,496.02 = 3,897.42 : x
  2. Step 2: Convert to fraction form
    6,881.30/9,496.02 = 3,897.42/x
  3. Step 3: Cross multiply
    6,881.30x = 9,496.02 × 3,897.42
  4. Step 4: Simplify right side
    6,881.30x = 37,009,978.27
  5. Step 5: Solve for x
    x = 37,009,978.27/6,881.30
  6. Step 6: Final answer
    x = 5,378.34

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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.