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Finding the Fourth Proportional to 9,206.65, 13,822.03 and 5,465.26

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Solution

The fourth proportional to 9,206.65, 13,822.03 and 5,465.26 is: 8,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.65 : 13,822.03 = 5,465.26 : x
  2. Step 2: Convert to fraction form
    9,206.65/13,822.03 = 5,465.26/x
  3. Step 3: Cross multiply
    9,206.65x = 13,822.03 × 5,465.26
  4. Step 4: Simplify right side
    9,206.65x = 75,540,987.68
  5. Step 5: Solve for x
    x = 75,540,987.68/9,206.65
  6. Step 6: Final answer
    x = 8,205.05

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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.