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Finding the Fourth Proportional to 9,732.80, 13,431.94 and 5,541.05

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Solution

The fourth proportional to 9,732.80, 13,431.94 and 5,541.05 is: 7,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.80 : 13,431.94 = 5,541.05 : x
  2. Step 2: Convert to fraction form
    9,732.80/13,431.94 = 5,541.05/x
  3. Step 3: Cross multiply
    9,732.80x = 13,431.94 × 5,541.05
  4. Step 4: Simplify right side
    9,732.80x = 74,426,970.12
  5. Step 5: Solve for x
    x = 74,426,970.12/9,732.80
  6. Step 6: Final answer
    x = 7,647.03

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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.