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Finding the Fourth Proportional to 9,836.70, 14,650.71 and 9,789.03

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Solution

The fourth proportional to 9,836.70, 14,650.71 and 9,789.03 is: 14,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.70 : 14,650.71 = 9,789.03 : x
  2. Step 2: Convert to fraction form
    9,836.70/14,650.71 = 9,789.03/x
  3. Step 3: Cross multiply
    9,836.70x = 14,650.71 × 9,789.03
  4. Step 4: Simplify right side
    9,836.70x = 143,416,178.61
  5. Step 5: Solve for x
    x = 143,416,178.61/9,836.70
  6. Step 6: Final answer
    x = 14,579.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.