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Finding the Fourth Proportional to 9,305.75, 12,841.94 and 5,114.27

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Solution

The fourth proportional to 9,305.75, 12,841.94 and 5,114.27 is: 7,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.75 : 12,841.94 = 5,114.27 : x
  2. Step 2: Convert to fraction form
    9,305.75/12,841.94 = 5,114.27/x
  3. Step 3: Cross multiply
    9,305.75x = 12,841.94 × 5,114.27
  4. Step 4: Simplify right side
    9,305.75x = 65,677,148.48
  5. Step 5: Solve for x
    x = 65,677,148.48/9,305.75
  6. Step 6: Final answer
    x = 7,057.70

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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.