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Finding the Fourth Proportional to 6,276.50, 9,410.21 and 3,153.84

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Solution

The fourth proportional to 6,276.50, 9,410.21 and 3,153.84 is: 4,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.50 : 9,410.21 = 3,153.84 : x
  2. Step 2: Convert to fraction form
    6,276.50/9,410.21 = 3,153.84/x
  3. Step 3: Cross multiply
    6,276.50x = 9,410.21 × 3,153.84
  4. Step 4: Simplify right side
    6,276.50x = 29,678,296.71
  5. Step 5: Solve for x
    x = 29,678,296.71/6,276.50
  6. Step 6: Final answer
    x = 4,728.48

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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.