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Finding the Fourth Proportional to 6,428.34, 9,626.90 and 4,448.70

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Solution

The fourth proportional to 6,428.34, 9,626.90 and 4,448.70 is: 6,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.34 : 9,626.90 = 4,448.70 : x
  2. Step 2: Convert to fraction form
    6,428.34/9,626.90 = 4,448.70/x
  3. Step 3: Cross multiply
    6,428.34x = 9,626.90 × 4,448.70
  4. Step 4: Simplify right side
    6,428.34x = 42,827,190.03
  5. Step 5: Solve for x
    x = 42,827,190.03/6,428.34
  6. Step 6: Final answer
    x = 6,662.25

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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.