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Finding the Fourth Proportional to 6,416.46, 9,617.31 and 2,946.42

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Solution

The fourth proportional to 6,416.46, 9,617.31 and 2,946.42 is: 4,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.46 : 9,617.31 = 2,946.42 : x
  2. Step 2: Convert to fraction form
    6,416.46/9,617.31 = 2,946.42/x
  3. Step 3: Cross multiply
    6,416.46x = 9,617.31 × 2,946.42
  4. Step 4: Simplify right side
    6,416.46x = 28,336,634.53
  5. Step 5: Solve for x
    x = 28,336,634.53/6,416.46
  6. Step 6: Final answer
    x = 4,416.24

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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.