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Finding the Fourth Proportional to 6,300.48, 9,446.94 and 3,380.16

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Solution

The fourth proportional to 6,300.48, 9,446.94 and 3,380.16 is: 5,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.48 : 9,446.94 = 3,380.16 : x
  2. Step 2: Convert to fraction form
    6,300.48/9,446.94 = 3,380.16/x
  3. Step 3: Cross multiply
    6,300.48x = 9,446.94 × 3,380.16
  4. Step 4: Simplify right side
    6,300.48x = 31,932,168.71
  5. Step 5: Solve for x
    x = 31,932,168.71/6,300.48
  6. Step 6: Final answer
    x = 5,068.21

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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.