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Finding the Fourth Proportional to 9,563.54, 13,204.04 and 5,983.91

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Solution

The fourth proportional to 9,563.54, 13,204.04 and 5,983.91 is: 8,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.54 : 13,204.04 = 5,983.91 : x
  2. Step 2: Convert to fraction form
    9,563.54/13,204.04 = 5,983.91/x
  3. Step 3: Cross multiply
    9,563.54x = 13,204.04 × 5,983.91
  4. Step 4: Simplify right side
    9,563.54x = 79,011,691.06
  5. Step 5: Solve for x
    x = 79,011,691.06/9,563.54
  6. Step 6: Final answer
    x = 8,261.77

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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.