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Finding the Fourth Proportional to 6,522.39, 9,787.70 and 3,408.01

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Solution

The fourth proportional to 6,522.39, 9,787.70 and 3,408.01 is: 5,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.39 : 9,787.70 = 3,408.01 : x
  2. Step 2: Convert to fraction form
    6,522.39/9,787.70 = 3,408.01/x
  3. Step 3: Cross multiply
    6,522.39x = 9,787.70 × 3,408.01
  4. Step 4: Simplify right side
    6,522.39x = 33,356,563.53
  5. Step 5: Solve for x
    x = 33,356,563.53/6,522.39
  6. Step 6: Final answer
    x = 5,114.16

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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.