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Finding the Fourth Proportional to 9,897.01, 14,843.88 and 3,659.99

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Solution

The fourth proportional to 9,897.01, 14,843.88 and 3,659.99 is: 5,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.01 : 14,843.88 = 3,659.99 : x
  2. Step 2: Convert to fraction form
    9,897.01/14,843.88 = 3,659.99/x
  3. Step 3: Cross multiply
    9,897.01x = 14,843.88 × 3,659.99
  4. Step 4: Simplify right side
    9,897.01x = 54,328,378.14
  5. Step 5: Solve for x
    x = 54,328,378.14/9,897.01
  6. Step 6: Final answer
    x = 5,489.37

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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.