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Finding the Fourth Proportional to 7,195.22, 9,932.19 and 5,623.82

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Solution

The fourth proportional to 7,195.22, 9,932.19 and 5,623.82 is: 7,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.22 : 9,932.19 = 5,623.82 : x
  2. Step 2: Convert to fraction form
    7,195.22/9,932.19 = 5,623.82/x
  3. Step 3: Cross multiply
    7,195.22x = 9,932.19 × 5,623.82
  4. Step 4: Simplify right side
    7,195.22x = 55,856,848.77
  5. Step 5: Solve for x
    x = 55,856,848.77/7,195.22
  6. Step 6: Final answer
    x = 7,763.05

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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.