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Finding the Fourth Proportional to 9,897.64, 13,635.68 and 6,908.20

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Solution

The fourth proportional to 9,897.64, 13,635.68 and 6,908.20 is: 9,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.64 : 13,635.68 = 6,908.20 : x
  2. Step 2: Convert to fraction form
    9,897.64/13,635.68 = 6,908.20/x
  3. Step 3: Cross multiply
    9,897.64x = 13,635.68 × 6,908.20
  4. Step 4: Simplify right side
    9,897.64x = 94,198,004.58
  5. Step 5: Solve for x
    x = 94,198,004.58/9,897.64
  6. Step 6: Final answer
    x = 9,517.22

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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.