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Finding the Fourth Proportional to 9,246.60, 13,859.10 and 4,861.80

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Solution

The fourth proportional to 9,246.60, 13,859.10 and 4,861.80 is: 7,287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.60 : 13,859.10 = 4,861.80 : x
  2. Step 2: Convert to fraction form
    9,246.60/13,859.10 = 4,861.80/x
  3. Step 3: Cross multiply
    9,246.60x = 13,859.10 × 4,861.80
  4. Step 4: Simplify right side
    9,246.60x = 67,380,172.38
  5. Step 5: Solve for x
    x = 67,380,172.38/9,246.60
  6. Step 6: Final answer
    x = 7,287.02

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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.