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Finding the Fourth Proportional to 6,368.33, 9,544.64 and 4,619.34

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Solution

The fourth proportional to 6,368.33, 9,544.64 and 4,619.34 is: 6,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.33 : 9,544.64 = 4,619.34 : x
  2. Step 2: Convert to fraction form
    6,368.33/9,544.64 = 4,619.34/x
  3. Step 3: Cross multiply
    6,368.33x = 9,544.64 × 4,619.34
  4. Step 4: Simplify right side
    6,368.33x = 44,089,914.24
  5. Step 5: Solve for x
    x = 44,089,914.24/6,368.33
  6. Step 6: Final answer
    x = 6,923.31

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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.