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Finding the Fourth Proportional to 9,212.90, 13,832.02 and 4,773.64

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Solution

The fourth proportional to 9,212.90, 13,832.02 and 4,773.64 is: 7,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.90 : 13,832.02 = 4,773.64 : x
  2. Step 2: Convert to fraction form
    9,212.90/13,832.02 = 4,773.64/x
  3. Step 3: Cross multiply
    9,212.90x = 13,832.02 × 4,773.64
  4. Step 4: Simplify right side
    9,212.90x = 66,029,083.95
  5. Step 5: Solve for x
    x = 66,029,083.95/9,212.90
  6. Step 6: Final answer
    x = 7,167.02

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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.