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Finding the Fourth Proportional to 9,199.34, 12,696.06 and 5,662.48

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Solution

The fourth proportional to 9,199.34, 12,696.06 and 5,662.48 is: 7,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.34 : 12,696.06 = 5,662.48 : x
  2. Step 2: Convert to fraction form
    9,199.34/12,696.06 = 5,662.48/x
  3. Step 3: Cross multiply
    9,199.34x = 12,696.06 × 5,662.48
  4. Step 4: Simplify right side
    9,199.34x = 71,891,185.83
  5. Step 5: Solve for x
    x = 71,891,185.83/9,199.34
  6. Step 6: Final answer
    x = 7,814.82

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