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Finding the Fourth Proportional to 9,183.89, 12,671.52 and 5,407.22

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Solution

The fourth proportional to 9,183.89, 12,671.52 and 5,407.22 is: 7,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.89 : 12,671.52 = 5,407.22 : x
  2. Step 2: Convert to fraction form
    9,183.89/12,671.52 = 5,407.22/x
  3. Step 3: Cross multiply
    9,183.89x = 12,671.52 × 5,407.22
  4. Step 4: Simplify right side
    9,183.89x = 68,517,696.37
  5. Step 5: Solve for x
    x = 68,517,696.37/9,183.89
  6. Step 6: Final answer
    x = 7,460.64

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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.