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Finding the Fourth Proportional to 9,207.90, 13,823.91 and 5,466.51

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Solution

The fourth proportional to 9,207.90, 13,823.91 and 5,466.51 is: 8,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.90 : 13,823.91 = 5,466.51 : x
  2. Step 2: Convert to fraction form
    9,207.90/13,823.91 = 5,466.51/x
  3. Step 3: Cross multiply
    9,207.90x = 13,823.91 × 5,466.51
  4. Step 4: Simplify right side
    9,207.90x = 75,568,542.25
  5. Step 5: Solve for x
    x = 75,568,542.25/9,207.90
  6. Step 6: Final answer
    x = 8,206.92

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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.