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Finding the Fourth Proportional to 9,861.50, 14,784.96 and 3,283.76

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Solution

The fourth proportional to 9,861.50, 14,784.96 and 3,283.76 is: 4,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.50 : 14,784.96 = 3,283.76 : x
  2. Step 2: Convert to fraction form
    9,861.50/14,784.96 = 3,283.76/x
  3. Step 3: Cross multiply
    9,861.50x = 14,784.96 × 3,283.76
  4. Step 4: Simplify right side
    9,861.50x = 48,550,260.25
  5. Step 5: Solve for x
    x = 48,550,260.25/9,861.50
  6. Step 6: Final answer
    x = 4,923.21

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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.