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Finding the Fourth Proportional to 6,522.12, 9,787.04 and 3,237

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Solution

The fourth proportional to 6,522.12, 9,787.04 and 3,237 is: 4,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.12 : 9,787.04 = 3,237 : x
  2. Step 2: Convert to fraction form
    6,522.12/9,787.04 = 3,237/x
  3. Step 3: Cross multiply
    6,522.12x = 9,787.04 × 3,237
  4. Step 4: Simplify right side
    6,522.12x = 31,680,648.48
  5. Step 5: Solve for x
    x = 31,680,648.48/6,522.12
  6. Step 6: Final answer
    x = 4,857.42

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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.