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Finding the Fourth Proportional to 6,276.83, 9,416.46 and 3,157.52

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Solution

The fourth proportional to 6,276.83, 9,416.46 and 3,157.52 is: 4,736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.83 : 9,416.46 = 3,157.52 : x
  2. Step 2: Convert to fraction form
    6,276.83/9,416.46 = 3,157.52/x
  3. Step 3: Cross multiply
    6,276.83x = 9,416.46 × 3,157.52
  4. Step 4: Simplify right side
    6,276.83x = 29,732,660.78
  5. Step 5: Solve for x
    x = 29,732,660.78/6,276.83
  6. Step 6: Final answer
    x = 4,736.89

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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.