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Finding the Fourth Proportional to 6,180.70, 9,271.05 and 4,212.40

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Solution

The fourth proportional to 6,180.70, 9,271.05 and 4,212.40 is: 6,318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.70 : 9,271.05 = 4,212.40 : x
  2. Step 2: Convert to fraction form
    6,180.70/9,271.05 = 4,212.40/x
  3. Step 3: Cross multiply
    6,180.70x = 9,271.05 × 4,212.40
  4. Step 4: Simplify right side
    6,180.70x = 39,053,371.02
  5. Step 5: Solve for x
    x = 39,053,371.02/6,180.70
  6. Step 6: Final answer
    x = 6,318.60

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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.