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Finding the Fourth Proportional to 9,897.99, 13,658.89 and 5,917.04

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Solution

The fourth proportional to 9,897.99, 13,658.89 and 5,917.04 is: 8,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.99 : 13,658.89 = 5,917.04 : x
  2. Step 2: Convert to fraction form
    9,897.99/13,658.89 = 5,917.04/x
  3. Step 3: Cross multiply
    9,897.99x = 13,658.89 × 5,917.04
  4. Step 4: Simplify right side
    9,897.99x = 80,820,198.49
  5. Step 5: Solve for x
    x = 80,820,198.49/9,897.99
  6. Step 6: Final answer
    x = 8,165.31

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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.