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Finding the Fourth Proportional to 6,300.96, 8,694.40 and 3,648

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Solution

The fourth proportional to 6,300.96, 8,694.40 and 3,648 is: 5,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.96 : 8,694.40 = 3,648 : x
  2. Step 2: Convert to fraction form
    6,300.96/8,694.40 = 3,648/x
  3. Step 3: Cross multiply
    6,300.96x = 8,694.40 × 3,648
  4. Step 4: Simplify right side
    6,300.96x = 31,717,171.20
  5. Step 5: Solve for x
    x = 31,717,171.20/6,300.96
  6. Step 6: Final answer
    x = 5,033.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.