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Finding the Fourth Proportional to 6,177.95, 9,255.31 and 3,054.32

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Solution

The fourth proportional to 6,177.95, 9,255.31 and 3,054.32 is: 4,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.95 : 9,255.31 = 3,054.32 : x
  2. Step 2: Convert to fraction form
    6,177.95/9,255.31 = 3,054.32/x
  3. Step 3: Cross multiply
    6,177.95x = 9,255.31 × 3,054.32
  4. Step 4: Simplify right side
    6,177.95x = 28,268,678.44
  5. Step 5: Solve for x
    x = 28,268,678.44/6,177.95
  6. Step 6: Final answer
    x = 4,575.74

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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.