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Finding the Fourth Proportional to 9,034.26, 12,467.88 and 5,055.75

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Solution

The fourth proportional to 9,034.26, 12,467.88 and 5,055.75 is: 6,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.26 : 12,467.88 = 5,055.75 : x
  2. Step 2: Convert to fraction form
    9,034.26/12,467.88 = 5,055.75/x
  3. Step 3: Cross multiply
    9,034.26x = 12,467.88 × 5,055.75
  4. Step 4: Simplify right side
    9,034.26x = 63,034,484.31
  5. Step 5: Solve for x
    x = 63,034,484.31/9,034.26
  6. Step 6: Final answer
    x = 6,977.27

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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.