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Finding the Fourth Proportional to 6,323.48, 9,490.06 and 2,863.16

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Solution

The fourth proportional to 6,323.48, 9,490.06 and 2,863.16 is: 4,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.48 : 9,490.06 = 2,863.16 : x
  2. Step 2: Convert to fraction form
    6,323.48/9,490.06 = 2,863.16/x
  3. Step 3: Cross multiply
    6,323.48x = 9,490.06 × 2,863.16
  4. Step 4: Simplify right side
    6,323.48x = 27,171,560.19
  5. Step 5: Solve for x
    x = 27,171,560.19/6,323.48
  6. Step 6: Final answer
    x = 4,296.93

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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.