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Finding the Fourth Proportional to 6,424.70, 9,626.70 and 3,643.10

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Solution

The fourth proportional to 6,424.70, 9,626.70 and 3,643.10 is: 5,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.70 : 9,626.70 = 3,643.10 : x
  2. Step 2: Convert to fraction form
    6,424.70/9,626.70 = 3,643.10/x
  3. Step 3: Cross multiply
    6,424.70x = 9,626.70 × 3,643.10
  4. Step 4: Simplify right side
    6,424.70x = 35,071,030.77
  5. Step 5: Solve for x
    x = 35,071,030.77/6,424.70
  6. Step 6: Final answer
    x = 5,458.78

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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.