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Finding the Fourth Proportional to 8,814.60, 13,193.10 and 6,222.60

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Solution

The fourth proportional to 8,814.60, 13,193.10 and 6,222.60 is: 9,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.60 : 13,193.10 = 6,222.60 : x
  2. Step 2: Convert to fraction form
    8,814.60/13,193.10 = 6,222.60/x
  3. Step 3: Cross multiply
    8,814.60x = 13,193.10 × 6,222.60
  4. Step 4: Simplify right side
    8,814.60x = 82,095,384.06
  5. Step 5: Solve for x
    x = 82,095,384.06/8,814.60
  6. Step 6: Final answer
    x = 9,313.57

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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.