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Finding the Fourth Proportional to 9,745.84, 13,449.72 and 5,554

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Solution

The fourth proportional to 9,745.84, 13,449.72 and 5,554 is: 7,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.84 : 13,449.72 = 5,554 : x
  2. Step 2: Convert to fraction form
    9,745.84/13,449.72 = 5,554/x
  3. Step 3: Cross multiply
    9,745.84x = 13,449.72 × 5,554
  4. Step 4: Simplify right side
    9,745.84x = 74,699,744.88
  5. Step 5: Solve for x
    x = 74,699,744.88/9,745.84
  6. Step 6: Final answer
    x = 7,664.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.