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Finding the Fourth Proportional to 9,898.20, 14,814.54 and 8,258.04

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Solution

The fourth proportional to 9,898.20, 14,814.54 and 8,258.04 is: 12,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.20 : 14,814.54 = 8,258.04 : x
  2. Step 2: Convert to fraction form
    9,898.20/14,814.54 = 8,258.04/x
  3. Step 3: Cross multiply
    9,898.20x = 14,814.54 × 8,258.04
  4. Step 4: Simplify right side
    9,898.20x = 122,339,063.90
  5. Step 5: Solve for x
    x = 122,339,063.90/9,898.20
  6. Step 6: Final answer
    x = 12,359.73

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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.