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Finding the Fourth Proportional to 6,483.94, 9,718.61 and 3,199.34

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Solution

The fourth proportional to 6,483.94, 9,718.61 and 3,199.34 is: 4,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.94 : 9,718.61 = 3,199.34 : x
  2. Step 2: Convert to fraction form
    6,483.94/9,718.61 = 3,199.34/x
  3. Step 3: Cross multiply
    6,483.94x = 9,718.61 × 3,199.34
  4. Step 4: Simplify right side
    6,483.94x = 31,093,137.72
  5. Step 5: Solve for x
    x = 31,093,137.72/6,483.94
  6. Step 6: Final answer
    x = 4,795.41

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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.