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Finding the Fourth Proportional to 6,552.18, 9,826.74 and 1,872.06

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Solution

The fourth proportional to 6,552.18, 9,826.74 and 1,872.06 is: 2,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.18 : 9,826.74 = 1,872.06 : x
  2. Step 2: Convert to fraction form
    6,552.18/9,826.74 = 1,872.06/x
  3. Step 3: Cross multiply
    6,552.18x = 9,826.74 × 1,872.06
  4. Step 4: Simplify right side
    6,552.18x = 18,396,246.88
  5. Step 5: Solve for x
    x = 18,396,246.88/6,552.18
  6. Step 6: Final answer
    x = 2,807.65

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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.