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Finding the Fourth Proportional to 6,470.20, 9,705.30 and 6,105.70

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Solution

The fourth proportional to 6,470.20, 9,705.30 and 6,105.70 is: 9,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.20 : 9,705.30 = 6,105.70 : x
  2. Step 2: Convert to fraction form
    6,470.20/9,705.30 = 6,105.70/x
  3. Step 3: Cross multiply
    6,470.20x = 9,705.30 × 6,105.70
  4. Step 4: Simplify right side
    6,470.20x = 59,257,650.21
  5. Step 5: Solve for x
    x = 59,257,650.21/6,470.20
  6. Step 6: Final answer
    x = 9,158.55

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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.