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Finding the Fourth Proportional to 6,428.70, 9,643.05 and 3,304.35

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Solution

The fourth proportional to 6,428.70, 9,643.05 and 3,304.35 is: 4,956.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.70 : 9,643.05 = 3,304.35 : x
  2. Step 2: Convert to fraction form
    6,428.70/9,643.05 = 3,304.35/x
  3. Step 3: Cross multiply
    6,428.70x = 9,643.05 × 3,304.35
  4. Step 4: Simplify right side
    6,428.70x = 31,864,012.27
  5. Step 5: Solve for x
    x = 31,864,012.27/6,428.70
  6. Step 6: Final answer
    x = 4,956.53

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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.