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Finding the Fourth Proportional to 9,563.04, 13,197.08 and 5,784.96

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Solution

The fourth proportional to 9,563.04, 13,197.08 and 5,784.96 is: 7,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.04 : 13,197.08 = 5,784.96 : x
  2. Step 2: Convert to fraction form
    9,563.04/13,197.08 = 5,784.96/x
  3. Step 3: Cross multiply
    9,563.04x = 13,197.08 × 5,784.96
  4. Step 4: Simplify right side
    9,563.04x = 76,344,579.92
  5. Step 5: Solve for x
    x = 76,344,579.92/9,563.04
  6. Step 6: Final answer
    x = 7,983.30

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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.