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Finding the Fourth Proportional to 9,664.56, 13,324.40 and 6,973.52

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Solution

The fourth proportional to 9,664.56, 13,324.40 and 6,973.52 is: 9,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.56 : 13,324.40 = 6,973.52 : x
  2. Step 2: Convert to fraction form
    9,664.56/13,324.40 = 6,973.52/x
  3. Step 3: Cross multiply
    9,664.56x = 13,324.40 × 6,973.52
  4. Step 4: Simplify right side
    9,664.56x = 92,917,969.89
  5. Step 5: Solve for x
    x = 92,917,969.89/9,664.56
  6. Step 6: Final answer
    x = 9,614.30

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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.