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Finding the Fourth Proportional to 7,162.22, 9,881.83 and 4,644.43

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Solution

The fourth proportional to 7,162.22, 9,881.83 and 4,644.43 is: 6,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.22 : 9,881.83 = 4,644.43 : x
  2. Step 2: Convert to fraction form
    7,162.22/9,881.83 = 4,644.43/x
  3. Step 3: Cross multiply
    7,162.22x = 9,881.83 × 4,644.43
  4. Step 4: Simplify right side
    7,162.22x = 45,895,467.71
  5. Step 5: Solve for x
    x = 45,895,467.71/7,162.22
  6. Step 6: Final answer
    x = 6,407.99

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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.