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Finding the Fourth Proportional to 6,213.84, 9,339.12 and 4,140.72

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Solution

The fourth proportional to 6,213.84, 9,339.12 and 4,140.72 is: 6,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.84 : 9,339.12 = 4,140.72 : x
  2. Step 2: Convert to fraction form
    6,213.84/9,339.12 = 4,140.72/x
  3. Step 3: Cross multiply
    6,213.84x = 9,339.12 × 4,140.72
  4. Step 4: Simplify right side
    6,213.84x = 38,670,680.97
  5. Step 5: Solve for x
    x = 38,670,680.97/6,213.84
  6. Step 6: Final answer
    x = 6,223.31

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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.