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Finding the Fourth Proportional to 6,263.15, 9,394.51 and 2,564.33

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Solution

The fourth proportional to 6,263.15, 9,394.51 and 2,564.33 is: 3,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.15 : 9,394.51 = 2,564.33 : x
  2. Step 2: Convert to fraction form
    6,263.15/9,394.51 = 2,564.33/x
  3. Step 3: Cross multiply
    6,263.15x = 9,394.51 × 2,564.33
  4. Step 4: Simplify right side
    6,263.15x = 24,090,570.44
  5. Step 5: Solve for x
    x = 24,090,570.44/6,263.15
  6. Step 6: Final answer
    x = 3,846.40

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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.