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Finding the Fourth Proportional to 9,284.43, 12,816.86 and 6,300.39

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Solution

The fourth proportional to 9,284.43, 12,816.86 and 6,300.39 is: 8,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.43 : 12,816.86 = 6,300.39 : x
  2. Step 2: Convert to fraction form
    9,284.43/12,816.86 = 6,300.39/x
  3. Step 3: Cross multiply
    9,284.43x = 12,816.86 × 6,300.39
  4. Step 4: Simplify right side
    9,284.43x = 80,751,185.07
  5. Step 5: Solve for x
    x = 80,751,185.07/9,284.43
  6. Step 6: Final answer
    x = 8,697.48

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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.