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Finding the Fourth Proportional to 9,696.44, 14,546.90 and 3,032.56

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Solution

The fourth proportional to 9,696.44, 14,546.90 and 3,032.56 is: 4,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.44 : 14,546.90 = 3,032.56 : x
  2. Step 2: Convert to fraction form
    9,696.44/14,546.90 = 3,032.56/x
  3. Step 3: Cross multiply
    9,696.44x = 14,546.90 × 3,032.56
  4. Step 4: Simplify right side
    9,696.44x = 44,114,347.06
  5. Step 5: Solve for x
    x = 44,114,347.06/9,696.44
  6. Step 6: Final answer
    x = 4,549.54

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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.