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Finding the Fourth Proportional to 9,596.81, 13,242.69 and 5,347.15

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Solution

The fourth proportional to 9,596.81, 13,242.69 and 5,347.15 is: 7,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.81 : 13,242.69 = 5,347.15 : x
  2. Step 2: Convert to fraction form
    9,596.81/13,242.69 = 5,347.15/x
  3. Step 3: Cross multiply
    9,596.81x = 13,242.69 × 5,347.15
  4. Step 4: Simplify right side
    9,596.81x = 70,810,616.73
  5. Step 5: Solve for x
    x = 70,810,616.73/9,596.81
  6. Step 6: Final answer
    x = 7,378.56

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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.