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Finding the Fourth Proportional to 9,563.04, 13,204.80 and 8,132.64

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Solution

The fourth proportional to 9,563.04, 13,204.80 and 8,132.64 is: 11,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.04 : 13,204.80 = 8,132.64 : x
  2. Step 2: Convert to fraction form
    9,563.04/13,204.80 = 8,132.64/x
  3. Step 3: Cross multiply
    9,563.04x = 13,204.80 × 8,132.64
  4. Step 4: Simplify right side
    9,563.04x = 107,389,884.67
  5. Step 5: Solve for x
    x = 107,389,884.67/9,563.04
  6. Step 6: Final answer
    x = 11,229.68

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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.