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Finding the Fourth Proportional to 9,305.50, 12,841.86 and 5,114.02

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Solution

The fourth proportional to 9,305.50, 12,841.86 and 5,114.02 is: 7,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.50 : 12,841.86 = 5,114.02 : x
  2. Step 2: Convert to fraction form
    9,305.50/12,841.86 = 5,114.02/x
  3. Step 3: Cross multiply
    9,305.50x = 12,841.86 × 5,114.02
  4. Step 4: Simplify right side
    9,305.50x = 65,673,528.88
  5. Step 5: Solve for x
    x = 65,673,528.88/9,305.50
  6. Step 6: Final answer
    x = 7,057.50

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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.