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Finding the Fourth Proportional to 9,600.29, 13,243.05 and 5,620.64

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Solution

The fourth proportional to 9,600.29, 13,243.05 and 5,620.64 is: 7,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.29 : 13,243.05 = 5,620.64 : x
  2. Step 2: Convert to fraction form
    9,600.29/13,243.05 = 5,620.64/x
  3. Step 3: Cross multiply
    9,600.29x = 13,243.05 × 5,620.64
  4. Step 4: Simplify right side
    9,600.29x = 74,434,416.55
  5. Step 5: Solve for x
    x = 74,434,416.55/9,600.29
  6. Step 6: Final answer
    x = 7,753.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.