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Finding the Fourth Proportional to 9,106.88, 13,659.68 and 3,559.20

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Solution

The fourth proportional to 9,106.88, 13,659.68 and 3,559.20 is: 5,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.88 : 13,659.68 = 3,559.20 : x
  2. Step 2: Convert to fraction form
    9,106.88/13,659.68 = 3,559.20/x
  3. Step 3: Cross multiply
    9,106.88x = 13,659.68 × 3,559.20
  4. Step 4: Simplify right side
    9,106.88x = 48,617,533.06
  5. Step 5: Solve for x
    x = 48,617,533.06/9,106.88
  6. Step 6: Final answer
    x = 5,338.55

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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.