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Finding the Fourth Proportional to 9,365.10, 14,052.24 and 3,822.30

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Solution

The fourth proportional to 9,365.10, 14,052.24 and 3,822.30 is: 5,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.10 : 14,052.24 = 3,822.30 : x
  2. Step 2: Convert to fraction form
    9,365.10/14,052.24 = 3,822.30/x
  3. Step 3: Cross multiply
    9,365.10x = 14,052.24 × 3,822.30
  4. Step 4: Simplify right side
    9,365.10x = 53,711,876.95
  5. Step 5: Solve for x
    x = 53,711,876.95/9,365.10
  6. Step 6: Final answer
    x = 5,735.32

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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.