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Finding the Fourth Proportional to 9,863.32, 14,797.36 and 3,289.56

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Solution

The fourth proportional to 9,863.32, 14,797.36 and 3,289.56 is: 4,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.32 : 14,797.36 = 3,289.56 : x
  2. Step 2: Convert to fraction form
    9,863.32/14,797.36 = 3,289.56/x
  3. Step 3: Cross multiply
    9,863.32x = 14,797.36 × 3,289.56
  4. Step 4: Simplify right side
    9,863.32x = 48,676,803.56
  5. Step 5: Solve for x
    x = 48,676,803.56/9,863.32
  6. Step 6: Final answer
    x = 4,935.13

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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.