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Finding the Fourth Proportional to 6,428.24, 9,626.78 and 4,448.32

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Solution

The fourth proportional to 6,428.24, 9,626.78 and 4,448.32 is: 6,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.24 : 9,626.78 = 4,448.32 : x
  2. Step 2: Convert to fraction form
    6,428.24/9,626.78 = 4,448.32/x
  3. Step 3: Cross multiply
    6,428.24x = 9,626.78 × 4,448.32
  4. Step 4: Simplify right side
    6,428.24x = 42,822,985.06
  5. Step 5: Solve for x
    x = 42,822,985.06/6,428.24
  6. Step 6: Final answer
    x = 6,661.70

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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.