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Finding the Fourth Proportional to 9,596.31, 13,243.15 and 5,289.57

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Solution

The fourth proportional to 9,596.31, 13,243.15 and 5,289.57 is: 7,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.31 : 13,243.15 = 5,289.57 : x
  2. Step 2: Convert to fraction form
    9,596.31/13,243.15 = 5,289.57/x
  3. Step 3: Cross multiply
    9,596.31x = 13,243.15 × 5,289.57
  4. Step 4: Simplify right side
    9,596.31x = 70,050,575.56
  5. Step 5: Solve for x
    x = 70,050,575.56/9,596.31
  6. Step 6: Final answer
    x = 7,299.74

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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.