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Finding the Fourth Proportional to 9,741.50, 13,443.27 and 5,549.75

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Solution

The fourth proportional to 9,741.50, 13,443.27 and 5,549.75 is: 7,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.50 : 13,443.27 = 5,549.75 : x
  2. Step 2: Convert to fraction form
    9,741.50/13,443.27 = 5,549.75/x
  3. Step 3: Cross multiply
    9,741.50x = 13,443.27 × 5,549.75
  4. Step 4: Simplify right side
    9,741.50x = 74,606,787.68
  5. Step 5: Solve for x
    x = 74,606,787.68/9,741.50
  6. Step 6: Final answer
    x = 7,658.66

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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.