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Finding the Fourth Proportional to 9,122.89, 13,684.35 and 2,883.55

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Solution

The fourth proportional to 9,122.89, 13,684.35 and 2,883.55 is: 4,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.89 : 13,684.35 = 2,883.55 : x
  2. Step 2: Convert to fraction form
    9,122.89/13,684.35 = 2,883.55/x
  3. Step 3: Cross multiply
    9,122.89x = 13,684.35 × 2,883.55
  4. Step 4: Simplify right side
    9,122.89x = 39,459,507.44
  5. Step 5: Solve for x
    x = 39,459,507.44/9,122.89
  6. Step 6: Final answer
    x = 4,325.33

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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.