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Finding the Fourth Proportional to 6,476.21, 9,714.60 and 2,318.18

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Solution

The fourth proportional to 6,476.21, 9,714.60 and 2,318.18 is: 3,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.21 : 9,714.60 = 2,318.18 : x
  2. Step 2: Convert to fraction form
    6,476.21/9,714.60 = 2,318.18/x
  3. Step 3: Cross multiply
    6,476.21x = 9,714.60 × 2,318.18
  4. Step 4: Simplify right side
    6,476.21x = 22,520,142.86
  5. Step 5: Solve for x
    x = 22,520,142.86/6,476.21
  6. Step 6: Final answer
    x = 3,477.37

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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.