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Finding the Fourth Proportional to 6,014.74, 9,021.30 and 3,641.44

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Solution

The fourth proportional to 6,014.74, 9,021.30 and 3,641.44 is: 5,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.74 : 9,021.30 = 3,641.44 : x
  2. Step 2: Convert to fraction form
    6,014.74/9,021.30 = 3,641.44/x
  3. Step 3: Cross multiply
    6,014.74x = 9,021.30 × 3,641.44
  4. Step 4: Simplify right side
    6,014.74x = 32,850,522.67
  5. Step 5: Solve for x
    x = 32,850,522.67/6,014.74
  6. Step 6: Final answer
    x = 5,461.67

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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.