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Finding the Fourth Proportional to 9,898.62, 14,836.41 and 9,789.18

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Solution

The fourth proportional to 9,898.62, 14,836.41 and 9,789.18 is: 14,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.62 : 14,836.41 = 9,789.18 : x
  2. Step 2: Convert to fraction form
    9,898.62/14,836.41 = 9,789.18/x
  3. Step 3: Cross multiply
    9,898.62x = 14,836.41 × 9,789.18
  4. Step 4: Simplify right side
    9,898.62x = 145,236,288.04
  5. Step 5: Solve for x
    x = 145,236,288.04/9,898.62
  6. Step 6: Final answer
    x = 14,672.38

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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.