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Finding the Fourth Proportional to 9,105.56, 13,661.60 and 3,562.88

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Solution

The fourth proportional to 9,105.56, 13,661.60 and 3,562.88 is: 5,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.56 : 13,661.60 = 3,562.88 : x
  2. Step 2: Convert to fraction form
    9,105.56/13,661.60 = 3,562.88/x
  3. Step 3: Cross multiply
    9,105.56x = 13,661.60 × 3,562.88
  4. Step 4: Simplify right side
    9,105.56x = 48,674,623.59
  5. Step 5: Solve for x
    x = 48,674,623.59/9,105.56
  6. Step 6: Final answer
    x = 5,345.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.