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Finding the Fourth Proportional to 6,448.41, 9,650.75 and 4,994.06

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Solution

The fourth proportional to 6,448.41, 9,650.75 and 4,994.06 is: 7,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.41 : 9,650.75 = 4,994.06 : x
  2. Step 2: Convert to fraction form
    6,448.41/9,650.75 = 4,994.06/x
  3. Step 3: Cross multiply
    6,448.41x = 9,650.75 × 4,994.06
  4. Step 4: Simplify right side
    6,448.41x = 48,196,351.32
  5. Step 5: Solve for x
    x = 48,196,351.32/6,448.41
  6. Step 6: Final answer
    x = 7,474.14

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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.