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Finding the Fourth Proportional to 9,199.45, 12,699.14 and 6,219.33

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Solution

The fourth proportional to 9,199.45, 12,699.14 and 6,219.33 is: 8,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.45 : 12,699.14 = 6,219.33 : x
  2. Step 2: Convert to fraction form
    9,199.45/12,699.14 = 6,219.33/x
  3. Step 3: Cross multiply
    9,199.45x = 12,699.14 × 6,219.33
  4. Step 4: Simplify right side
    9,199.45x = 78,980,142.38
  5. Step 5: Solve for x
    x = 78,980,142.38/9,199.45
  6. Step 6: Final answer
    x = 8,585.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.