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Finding the Fourth Proportional to 9,106.41, 13,661.35 and 3,559.41

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Solution

The fourth proportional to 9,106.41, 13,661.35 and 3,559.41 is: 5,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.41 : 13,661.35 = 3,559.41 : x
  2. Step 2: Convert to fraction form
    9,106.41/13,661.35 = 3,559.41/x
  3. Step 3: Cross multiply
    9,106.41x = 13,661.35 × 3,559.41
  4. Step 4: Simplify right side
    9,106.41x = 48,626,336.90
  5. Step 5: Solve for x
    x = 48,626,336.90/9,106.41
  6. Step 6: Final answer
    x = 5,339.79

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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.