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Finding the Fourth Proportional to 9,284.22, 12,807.72 and 6,143.04

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Solution

The fourth proportional to 9,284.22, 12,807.72 and 6,143.04 is: 8,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.22 : 12,807.72 = 6,143.04 : x
  2. Step 2: Convert to fraction form
    9,284.22/12,807.72 = 6,143.04/x
  3. Step 3: Cross multiply
    9,284.22x = 12,807.72 × 6,143.04
  4. Step 4: Simplify right side
    9,284.22x = 78,678,336.27
  5. Step 5: Solve for x
    x = 78,678,336.27/9,284.22
  6. Step 6: Final answer
    x = 8,474.42

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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.