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Finding the Fourth Proportional to 6,552.46, 9,827.52 and 1,873.18

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Solution

The fourth proportional to 6,552.46, 9,827.52 and 1,873.18 is: 2,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.46 : 9,827.52 = 1,873.18 : x
  2. Step 2: Convert to fraction form
    6,552.46/9,827.52 = 1,873.18/x
  3. Step 3: Cross multiply
    6,552.46x = 9,827.52 × 1,873.18
  4. Step 4: Simplify right side
    6,552.46x = 18,408,713.91
  5. Step 5: Solve for x
    x = 18,408,713.91/6,552.46
  6. Step 6: Final answer
    x = 2,809.44

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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.