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Finding the Fourth Proportional to 6,326.87, 9,483.95 and 2,164.03

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Solution

The fourth proportional to 6,326.87, 9,483.95 and 2,164.03 is: 3,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.87 : 9,483.95 = 2,164.03 : x
  2. Step 2: Convert to fraction form
    6,326.87/9,483.95 = 2,164.03/x
  3. Step 3: Cross multiply
    6,326.87x = 9,483.95 × 2,164.03
  4. Step 4: Simplify right side
    6,326.87x = 20,523,539.63
  5. Step 5: Solve for x
    x = 20,523,539.63/6,326.87
  6. Step 6: Final answer
    x = 3,243.87

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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.