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Finding the Fourth Proportional to 9,034.63, 12,467.81 and 5,055.75

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Solution

The fourth proportional to 9,034.63, 12,467.81 and 5,055.75 is: 6,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.63 : 12,467.81 = 5,055.75 : x
  2. Step 2: Convert to fraction form
    9,034.63/12,467.81 = 5,055.75/x
  3. Step 3: Cross multiply
    9,034.63x = 12,467.81 × 5,055.75
  4. Step 4: Simplify right side
    9,034.63x = 63,034,143.05
  5. Step 5: Solve for x
    x = 63,034,143.05/9,034.63
  6. Step 6: Final answer
    x = 6,976.95

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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.