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Finding the Fourth Proportional to 9,517.83, 14,293.08 and 5,841.63

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Solution

The fourth proportional to 9,517.83, 14,293.08 and 5,841.63 is: 8,772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.83 : 14,293.08 = 5,841.63 : x
  2. Step 2: Convert to fraction form
    9,517.83/14,293.08 = 5,841.63/x
  3. Step 3: Cross multiply
    9,517.83x = 14,293.08 × 5,841.63
  4. Step 4: Simplify right side
    9,517.83x = 83,494,884.92
  5. Step 5: Solve for x
    x = 83,494,884.92/9,517.83
  6. Step 6: Final answer
    x = 8,772.47

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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.