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Finding the Fourth Proportional to 9,290.84, 13,940.37 and 3,755.00

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Solution

The fourth proportional to 9,290.84, 13,940.37 and 3,755.00 is: 5,634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.84 : 13,940.37 = 3,755.00 : x
  2. Step 2: Convert to fraction form
    9,290.84/13,940.37 = 3,755.00/x
  3. Step 3: Cross multiply
    9,290.84x = 13,940.37 × 3,755.00
  4. Step 4: Simplify right side
    9,290.84x = 52,346,019.65
  5. Step 5: Solve for x
    x = 52,346,019.65/9,290.84
  6. Step 6: Final answer
    x = 5,634.16

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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.