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Finding the Fourth Proportional to 9,741.82, 13,443.03 and 5,493.03

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Solution

The fourth proportional to 9,741.82, 13,443.03 and 5,493.03 is: 7,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.82 : 13,443.03 = 5,493.03 : x
  2. Step 2: Convert to fraction form
    9,741.82/13,443.03 = 5,493.03/x
  3. Step 3: Cross multiply
    9,741.82x = 13,443.03 × 5,493.03
  4. Step 4: Simplify right side
    9,741.82x = 73,842,967.08
  5. Step 5: Solve for x
    x = 73,842,967.08/9,741.82
  6. Step 6: Final answer
    x = 7,580.00

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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.