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Finding the Fourth Proportional to 8,861.14, 13,279.29 and 6,384.30

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Solution

The fourth proportional to 8,861.14, 13,279.29 and 6,384.30 is: 9,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,861.14 : 13,279.29 = 6,384.30 : x
  2. Step 2: Convert to fraction form
    8,861.14/13,279.29 = 6,384.30/x
  3. Step 3: Cross multiply
    8,861.14x = 13,279.29 × 6,384.30
  4. Step 4: Simplify right side
    8,861.14x = 84,778,971.15
  5. Step 5: Solve for x
    x = 84,778,971.15/8,861.14
  6. Step 6: Final answer
    x = 9,567.50

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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.