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Finding the Fourth Proportional to 9,856.36, 14,785.47 and 2,836.36

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Solution

The fourth proportional to 9,856.36, 14,785.47 and 2,836.36 is: 4,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.36 : 14,785.47 = 2,836.36 : x
  2. Step 2: Convert to fraction form
    9,856.36/14,785.47 = 2,836.36/x
  3. Step 3: Cross multiply
    9,856.36x = 14,785.47 × 2,836.36
  4. Step 4: Simplify right side
    9,856.36x = 41,936,915.69
  5. Step 5: Solve for x
    x = 41,936,915.69/9,856.36
  6. Step 6: Final answer
    x = 4,254.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.