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Finding the Fourth Proportional to 6,184.32, 9,277.28 and 2,288.32

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Solution

The fourth proportional to 6,184.32, 9,277.28 and 2,288.32 is: 3,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.32 : 9,277.28 = 2,288.32 : x
  2. Step 2: Convert to fraction form
    6,184.32/9,277.28 = 2,288.32/x
  3. Step 3: Cross multiply
    6,184.32x = 9,277.28 × 2,288.32
  4. Step 4: Simplify right side
    6,184.32x = 21,229,385.37
  5. Step 5: Solve for x
    x = 21,229,385.37/6,184.32
  6. Step 6: Final answer
    x = 3,432.78

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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.