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Finding the Fourth Proportional to 6,470.21, 9,705.24 and 4,562.68

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Solution

The fourth proportional to 6,470.21, 9,705.24 and 4,562.68 is: 6,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.21 : 9,705.24 = 4,562.68 : x
  2. Step 2: Convert to fraction form
    6,470.21/9,705.24 = 4,562.68/x
  3. Step 3: Cross multiply
    6,470.21x = 9,705.24 × 4,562.68
  4. Step 4: Simplify right side
    6,470.21x = 44,281,904.44
  5. Step 5: Solve for x
    x = 44,281,904.44/6,470.21
  6. Step 6: Final answer
    x = 6,843.97

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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.