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Finding the Fourth Proportional to 9,897.39, 14,845.91 and 3,976.88

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Solution

The fourth proportional to 9,897.39, 14,845.91 and 3,976.88 is: 5,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.39 : 14,845.91 = 3,976.88 : x
  2. Step 2: Convert to fraction form
    9,897.39/14,845.91 = 3,976.88/x
  3. Step 3: Cross multiply
    9,897.39x = 14,845.91 × 3,976.88
  4. Step 4: Simplify right side
    9,897.39x = 59,040,308.45
  5. Step 5: Solve for x
    x = 59,040,308.45/9,897.39
  6. Step 6: Final answer
    x = 5,965.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.