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Finding the Fourth Proportional to 6,428.82, 9,643.72 and 2,730.64

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Solution

The fourth proportional to 6,428.82, 9,643.72 and 2,730.64 is: 4,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.82 : 9,643.72 = 2,730.64 : x
  2. Step 2: Convert to fraction form
    6,428.82/9,643.72 = 2,730.64/x
  3. Step 3: Cross multiply
    6,428.82x = 9,643.72 × 2,730.64
  4. Step 4: Simplify right side
    6,428.82x = 26,333,527.58
  5. Step 5: Solve for x
    x = 26,333,527.58/6,428.82
  6. Step 6: Final answer
    x = 4,096.17

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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.