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Finding the Fourth Proportional to 9,321.92, 12,863.92 and 5,130.16

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Solution

The fourth proportional to 9,321.92, 12,863.92 and 5,130.16 is: 7,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.92 : 12,863.92 = 5,130.16 : x
  2. Step 2: Convert to fraction form
    9,321.92/12,863.92 = 5,130.16/x
  3. Step 3: Cross multiply
    9,321.92x = 12,863.92 × 5,130.16
  4. Step 4: Simplify right side
    9,321.92x = 65,993,967.83
  5. Step 5: Solve for x
    x = 65,993,967.83/9,321.92
  6. Step 6: Final answer
    x = 7,079.44

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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.