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Finding the Fourth Proportional to 9,309.54, 13,958.82 and 4,629.36

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Solution

The fourth proportional to 9,309.54, 13,958.82 and 4,629.36 is: 6,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.54 : 13,958.82 = 4,629.36 : x
  2. Step 2: Convert to fraction form
    9,309.54/13,958.82 = 4,629.36/x
  3. Step 3: Cross multiply
    9,309.54x = 13,958.82 × 4,629.36
  4. Step 4: Simplify right side
    9,309.54x = 64,620,402.96
  5. Step 5: Solve for x
    x = 64,620,402.96/9,309.54
  6. Step 6: Final answer
    x = 6,941.31

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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.