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Finding the Fourth Proportional to 9,723.54, 13,419.49 and 5,949.21

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Solution

The fourth proportional to 9,723.54, 13,419.49 and 5,949.21 is: 8,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.54 : 13,419.49 = 5,949.21 : x
  2. Step 2: Convert to fraction form
    9,723.54/13,419.49 = 5,949.21/x
  3. Step 3: Cross multiply
    9,723.54x = 13,419.49 × 5,949.21
  4. Step 4: Simplify right side
    9,723.54x = 79,835,364.10
  5. Step 5: Solve for x
    x = 79,835,364.10/9,723.54
  6. Step 6: Final answer
    x = 8,210.52

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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.