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Finding the Fourth Proportional to 9,284.10, 13,922.24 and 3,945.12

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Solution

The fourth proportional to 9,284.10, 13,922.24 and 3,945.12 is: 5,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.10 : 13,922.24 = 3,945.12 : x
  2. Step 2: Convert to fraction form
    9,284.10/13,922.24 = 3,945.12/x
  3. Step 3: Cross multiply
    9,284.10x = 13,922.24 × 3,945.12
  4. Step 4: Simplify right side
    9,284.10x = 54,924,887.74
  5. Step 5: Solve for x
    x = 54,924,887.74/9,284.10
  6. Step 6: Final answer
    x = 5,916.02

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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.