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Finding the Fourth Proportional to 6,897.44, 9,518.54 and 3,753.64

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Solution

The fourth proportional to 6,897.44, 9,518.54 and 3,753.64 is: 5,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.44 : 9,518.54 = 3,753.64 : x
  2. Step 2: Convert to fraction form
    6,897.44/9,518.54 = 3,753.64/x
  3. Step 3: Cross multiply
    6,897.44x = 9,518.54 × 3,753.64
  4. Step 4: Simplify right side
    6,897.44x = 35,729,172.49
  5. Step 5: Solve for x
    x = 35,729,172.49/6,897.44
  6. Step 6: Final answer
    x = 5,180.06

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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.