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Finding the Fourth Proportional to 6,289.22, 9,435.29 and 3,161.41

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Solution

The fourth proportional to 6,289.22, 9,435.29 and 3,161.41 is: 4,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.22 : 9,435.29 = 3,161.41 : x
  2. Step 2: Convert to fraction form
    6,289.22/9,435.29 = 3,161.41/x
  3. Step 3: Cross multiply
    6,289.22x = 9,435.29 × 3,161.41
  4. Step 4: Simplify right side
    6,289.22x = 29,828,780.76
  5. Step 5: Solve for x
    x = 29,828,780.76/6,289.22
  6. Step 6: Final answer
    x = 4,742.84

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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.