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Finding the Fourth Proportional to 9,049.83, 12,496.37 and 6,807.82

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Solution

The fourth proportional to 9,049.83, 12,496.37 and 6,807.82 is: 9,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.83 : 12,496.37 = 6,807.82 : x
  2. Step 2: Convert to fraction form
    9,049.83/12,496.37 = 6,807.82/x
  3. Step 3: Cross multiply
    9,049.83x = 12,496.37 × 6,807.82
  4. Step 4: Simplify right side
    9,049.83x = 85,072,941.09
  5. Step 5: Solve for x
    x = 85,072,941.09/9,049.83
  6. Step 6: Final answer
    x = 9,400.51

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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.