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Finding the Fourth Proportional to 9,596.28, 13,230.54 and 6,445.56

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Solution

The fourth proportional to 9,596.28, 13,230.54 and 6,445.56 is: 8,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.28 : 13,230.54 = 6,445.56 : x
  2. Step 2: Convert to fraction form
    9,596.28/13,230.54 = 6,445.56/x
  3. Step 3: Cross multiply
    9,596.28x = 13,230.54 × 6,445.56
  4. Step 4: Simplify right side
    9,596.28x = 85,278,239.40
  5. Step 5: Solve for x
    x = 85,278,239.40/9,596.28
  6. Step 6: Final answer
    x = 8,886.59

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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.