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Finding the Fourth Proportional to 9,856.38, 14,785.05 and 4,013.82

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Solution

The fourth proportional to 9,856.38, 14,785.05 and 4,013.82 is: 6,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.38 : 14,785.05 = 4,013.82 : x
  2. Step 2: Convert to fraction form
    9,856.38/14,785.05 = 4,013.82/x
  3. Step 3: Cross multiply
    9,856.38x = 14,785.05 × 4,013.82
  4. Step 4: Simplify right side
    9,856.38x = 59,344,529.39
  5. Step 5: Solve for x
    x = 59,344,529.39/9,856.38
  6. Step 6: Final answer
    x = 6,020.93

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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.