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Finding the Fourth Proportional to 6,296.22, 8,684.01 and 4,967.28

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Solution

The fourth proportional to 6,296.22, 8,684.01 and 4,967.28 is: 6,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.22 : 8,684.01 = 4,967.28 : x
  2. Step 2: Convert to fraction form
    6,296.22/8,684.01 = 4,967.28/x
  3. Step 3: Cross multiply
    6,296.22x = 8,684.01 × 4,967.28
  4. Step 4: Simplify right side
    6,296.22x = 43,135,909.19
  5. Step 5: Solve for x
    x = 43,135,909.19/6,296.22
  6. Step 6: Final answer
    x = 6,851.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.