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Finding the Fourth Proportional to 9,142.77, 13,730.37 and 6,803.49

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Solution

The fourth proportional to 9,142.77, 13,730.37 and 6,803.49 is: 10,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.77 : 13,730.37 = 6,803.49 : x
  2. Step 2: Convert to fraction form
    9,142.77/13,730.37 = 6,803.49/x
  3. Step 3: Cross multiply
    9,142.77x = 13,730.37 × 6,803.49
  4. Step 4: Simplify right side
    9,142.77x = 93,414,434.99
  5. Step 5: Solve for x
    x = 93,414,434.99/9,142.77
  6. Step 6: Final answer
    x = 10,217.30

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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.