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Finding the Fourth Proportional to 9,856.85, 14,786.21 and 3,283.49

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Solution

The fourth proportional to 9,856.85, 14,786.21 and 3,283.49 is: 4,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.85 : 14,786.21 = 3,283.49 : x
  2. Step 2: Convert to fraction form
    9,856.85/14,786.21 = 3,283.49/x
  3. Step 3: Cross multiply
    9,856.85x = 14,786.21 × 3,283.49
  4. Step 4: Simplify right side
    9,856.85x = 48,550,282.32
  5. Step 5: Solve for x
    x = 48,550,282.32/9,856.85
  6. Step 6: Final answer
    x = 4,925.54

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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.