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Finding the Fourth Proportional to 9,856.45, 14,787.04 and 3,282.70

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Solution

The fourth proportional to 9,856.45, 14,787.04 and 3,282.70 is: 4,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.45 : 14,787.04 = 3,282.70 : x
  2. Step 2: Convert to fraction form
    9,856.45/14,787.04 = 3,282.70/x
  3. Step 3: Cross multiply
    9,856.45x = 14,787.04 × 3,282.70
  4. Step 4: Simplify right side
    9,856.45x = 48,541,416.21
  5. Step 5: Solve for x
    x = 48,541,416.21/9,856.45
  6. Step 6: Final answer
    x = 4,924.84

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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.