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Finding the Fourth Proportional to 9,563.72, 13,197.83 and 5,585.45

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Solution

The fourth proportional to 9,563.72, 13,197.83 and 5,585.45 is: 7,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.72 : 13,197.83 = 5,585.45 : x
  2. Step 2: Convert to fraction form
    9,563.72/13,197.83 = 5,585.45/x
  3. Step 3: Cross multiply
    9,563.72x = 13,197.83 × 5,585.45
  4. Step 4: Simplify right side
    9,563.72x = 73,715,725.66
  5. Step 5: Solve for x
    x = 73,715,725.66/9,563.72
  6. Step 6: Final answer
    x = 7,707.85

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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.