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Finding the Fourth Proportional to 9,252.53, 13,880.16 and 3,408.70

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Solution

The fourth proportional to 9,252.53, 13,880.16 and 3,408.70 is: 5,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.53 : 13,880.16 = 3,408.70 : x
  2. Step 2: Convert to fraction form
    9,252.53/13,880.16 = 3,408.70/x
  3. Step 3: Cross multiply
    9,252.53x = 13,880.16 × 3,408.70
  4. Step 4: Simplify right side
    9,252.53x = 47,313,301.39
  5. Step 5: Solve for x
    x = 47,313,301.39/9,252.53
  6. Step 6: Final answer
    x = 5,113.55

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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.