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Finding the Fourth Proportional to 9,898.20, 13,658.22 and 5,917.86

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Solution

The fourth proportional to 9,898.20, 13,658.22 and 5,917.86 is: 8,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.20 : 13,658.22 = 5,917.86 : x
  2. Step 2: Convert to fraction form
    9,898.20/13,658.22 = 5,917.86/x
  3. Step 3: Cross multiply
    9,898.20x = 13,658.22 × 5,917.86
  4. Step 4: Simplify right side
    9,898.20x = 80,827,433.81
  5. Step 5: Solve for x
    x = 80,827,433.81/9,898.20
  6. Step 6: Final answer
    x = 8,165.87

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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.