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Finding the Fourth Proportional to 6,464.22, 9,696.33 and 5,159.58

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Solution

The fourth proportional to 6,464.22, 9,696.33 and 5,159.58 is: 7,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.22 : 9,696.33 = 5,159.58 : x
  2. Step 2: Convert to fraction form
    6,464.22/9,696.33 = 5,159.58/x
  3. Step 3: Cross multiply
    6,464.22x = 9,696.33 × 5,159.58
  4. Step 4: Simplify right side
    6,464.22x = 50,028,990.34
  5. Step 5: Solve for x
    x = 50,028,990.34/6,464.22
  6. Step 6: Final answer
    x = 7,739.37

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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.