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Finding the Fourth Proportional to 9,107.66, 13,655.46 and 3,561.54

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Solution

The fourth proportional to 9,107.66, 13,655.46 and 3,561.54 is: 5,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.66 : 13,655.46 = 3,561.54 : x
  2. Step 2: Convert to fraction form
    9,107.66/13,655.46 = 3,561.54/x
  3. Step 3: Cross multiply
    9,107.66x = 13,655.46 × 3,561.54
  4. Step 4: Simplify right side
    9,107.66x = 48,634,467.01
  5. Step 5: Solve for x
    x = 48,634,467.01/9,107.66
  6. Step 6: Final answer
    x = 5,339.95

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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.