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Finding the Fourth Proportional to 6,428.46, 9,643.76 and 2,047.26

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Solution

The fourth proportional to 6,428.46, 9,643.76 and 2,047.26 is: 3,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.46 : 9,643.76 = 2,047.26 : x
  2. Step 2: Convert to fraction form
    6,428.46/9,643.76 = 2,047.26/x
  3. Step 3: Cross multiply
    6,428.46x = 9,643.76 × 2,047.26
  4. Step 4: Simplify right side
    6,428.46x = 19,743,241.00
  5. Step 5: Solve for x
    x = 19,743,241.00/6,428.46
  6. Step 6: Final answer
    x = 3,071.23

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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.