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Finding the Fourth Proportional to 6,483.29, 9,722.70 and 2,783.21

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Solution

The fourth proportional to 6,483.29, 9,722.70 and 2,783.21 is: 4,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.29 : 9,722.70 = 2,783.21 : x
  2. Step 2: Convert to fraction form
    6,483.29/9,722.70 = 2,783.21/x
  3. Step 3: Cross multiply
    6,483.29x = 9,722.70 × 2,783.21
  4. Step 4: Simplify right side
    6,483.29x = 27,060,315.87
  5. Step 5: Solve for x
    x = 27,060,315.87/6,483.29
  6. Step 6: Final answer
    x = 4,173.86

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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.