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Finding the Fourth Proportional to 6,468.21, 9,703.55 and 2,084.49

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Solution

The fourth proportional to 6,468.21, 9,703.55 and 2,084.49 is: 3,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.21 : 9,703.55 = 2,084.49 : x
  2. Step 2: Convert to fraction form
    6,468.21/9,703.55 = 2,084.49/x
  3. Step 3: Cross multiply
    6,468.21x = 9,703.55 × 2,084.49
  4. Step 4: Simplify right side
    6,468.21x = 20,226,958.15
  5. Step 5: Solve for x
    x = 20,226,958.15/6,468.21
  6. Step 6: Final answer
    x = 3,127.13

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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.