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Finding the Fourth Proportional to 6,237.86, 9,361.22 and 3,466.76

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Solution

The fourth proportional to 6,237.86, 9,361.22 and 3,466.76 is: 5,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.86 : 9,361.22 = 3,466.76 : x
  2. Step 2: Convert to fraction form
    6,237.86/9,361.22 = 3,466.76/x
  3. Step 3: Cross multiply
    6,237.86x = 9,361.22 × 3,466.76
  4. Step 4: Simplify right side
    6,237.86x = 32,453,038.91
  5. Step 5: Solve for x
    x = 32,453,038.91/6,237.86
  6. Step 6: Final answer
    x = 5,202.60

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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.