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Finding the Fourth Proportional to 9,252.92, 13,880.01 and 3,409.94

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Solution

The fourth proportional to 9,252.92, 13,880.01 and 3,409.94 is: 5,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.92 : 13,880.01 = 3,409.94 : x
  2. Step 2: Convert to fraction form
    9,252.92/13,880.01 = 3,409.94/x
  3. Step 3: Cross multiply
    9,252.92x = 13,880.01 × 3,409.94
  4. Step 4: Simplify right side
    9,252.92x = 47,330,001.30
  5. Step 5: Solve for x
    x = 47,330,001.30/9,252.92
  6. Step 6: Final answer
    x = 5,115.14

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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.