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Finding the Fourth Proportional to 6,470.20, 9,710.70 and 3,186.10

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Solution

The fourth proportional to 6,470.20, 9,710.70 and 3,186.10 is: 4,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.20 : 9,710.70 = 3,186.10 : x
  2. Step 2: Convert to fraction form
    6,470.20/9,710.70 = 3,186.10/x
  3. Step 3: Cross multiply
    6,470.20x = 9,710.70 × 3,186.10
  4. Step 4: Simplify right side
    6,470.20x = 30,939,261.27
  5. Step 5: Solve for x
    x = 30,939,261.27/6,470.20
  6. Step 6: Final answer
    x = 4,781.81

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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.