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Finding the Fourth Proportional to 9,105.56, 12,563.44 and 5,567.48

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Solution

The fourth proportional to 9,105.56, 12,563.44 and 5,567.48 is: 7,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.56 : 12,563.44 = 5,567.48 : x
  2. Step 2: Convert to fraction form
    9,105.56/12,563.44 = 5,567.48/x
  3. Step 3: Cross multiply
    9,105.56x = 12,563.44 × 5,567.48
  4. Step 4: Simplify right side
    9,105.56x = 69,946,673.09
  5. Step 5: Solve for x
    x = 69,946,673.09/9,105.56
  6. Step 6: Final answer
    x = 7,681.75

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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.