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Finding the Fourth Proportional to 8,443.42, 12,665.13 and 3,762.22

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Solution

The fourth proportional to 8,443.42, 12,665.13 and 3,762.22 is: 5,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.42 : 12,665.13 = 3,762.22 : x
  2. Step 2: Convert to fraction form
    8,443.42/12,665.13 = 3,762.22/x
  3. Step 3: Cross multiply
    8,443.42x = 12,665.13 × 3,762.22
  4. Step 4: Simplify right side
    8,443.42x = 47,649,005.39
  5. Step 5: Solve for x
    x = 47,649,005.39/8,443.42
  6. Step 6: Final answer
    x = 5,643.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.