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Finding the Fourth Proportional to 9,305.49, 13,954.59 and 3,460.26

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Solution

The fourth proportional to 9,305.49, 13,954.59 and 3,460.26 is: 5,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.49 : 13,954.59 = 3,460.26 : x
  2. Step 2: Convert to fraction form
    9,305.49/13,954.59 = 3,460.26/x
  3. Step 3: Cross multiply
    9,305.49x = 13,954.59 × 3,460.26
  4. Step 4: Simplify right side
    9,305.49x = 48,286,509.59
  5. Step 5: Solve for x
    x = 48,286,509.59/9,305.49
  6. Step 6: Final answer
    x = 5,189.03

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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.