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Finding the Fourth Proportional to 6,316.36, 9,478.64 and 2,853.64

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Solution

The fourth proportional to 6,316.36, 9,478.64 and 2,853.64 is: 4,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.36 : 9,478.64 = 2,853.64 : x
  2. Step 2: Convert to fraction form
    6,316.36/9,478.64 = 2,853.64/x
  3. Step 3: Cross multiply
    6,316.36x = 9,478.64 × 2,853.64
  4. Step 4: Simplify right side
    6,316.36x = 27,048,626.25
  5. Step 5: Solve for x
    x = 27,048,626.25/6,316.36
  6. Step 6: Final answer
    x = 4,282.31

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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.