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Finding the Fourth Proportional to 6,178.32, 9,268.86 and 2,889.62

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Solution

The fourth proportional to 6,178.32, 9,268.86 and 2,889.62 is: 4,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.32 : 9,268.86 = 2,889.62 : x
  2. Step 2: Convert to fraction form
    6,178.32/9,268.86 = 2,889.62/x
  3. Step 3: Cross multiply
    6,178.32x = 9,268.86 × 2,889.62
  4. Step 4: Simplify right side
    6,178.32x = 26,783,483.23
  5. Step 5: Solve for x
    x = 26,783,483.23/6,178.32
  6. Step 6: Final answer
    x = 4,335.08

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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.