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Finding the Fourth Proportional to 6,466.49, 9,700.23 and 2,084.07

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Solution

The fourth proportional to 6,466.49, 9,700.23 and 2,084.07 is: 3,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.49 : 9,700.23 = 2,084.07 : x
  2. Step 2: Convert to fraction form
    6,466.49/9,700.23 = 2,084.07/x
  3. Step 3: Cross multiply
    6,466.49x = 9,700.23 × 2,084.07
  4. Step 4: Simplify right side
    6,466.49x = 20,215,958.34
  5. Step 5: Solve for x
    x = 20,215,958.34/6,466.49
  6. Step 6: Final answer
    x = 3,126.27

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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.