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Finding the Fourth Proportional to 9,131.58, 13,697.33 and 2,206.08

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Solution

The fourth proportional to 9,131.58, 13,697.33 and 2,206.08 is: 3,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.58 : 13,697.33 = 2,206.08 : x
  2. Step 2: Convert to fraction form
    9,131.58/13,697.33 = 2,206.08/x
  3. Step 3: Cross multiply
    9,131.58x = 13,697.33 × 2,206.08
  4. Step 4: Simplify right side
    9,131.58x = 30,217,394.74
  5. Step 5: Solve for x
    x = 30,217,394.74/9,131.58
  6. Step 6: Final answer
    x = 3,309.11

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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.