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Finding the Fourth Proportional to 9,596.06, 13,243.53 and 5,347.81

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Solution

The fourth proportional to 9,596.06, 13,243.53 and 5,347.81 is: 7,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.06 : 13,243.53 = 5,347.81 : x
  2. Step 2: Convert to fraction form
    9,596.06/13,243.53 = 5,347.81/x
  3. Step 3: Cross multiply
    9,596.06x = 13,243.53 × 5,347.81
  4. Step 4: Simplify right side
    9,596.06x = 70,823,918.78
  5. Step 5: Solve for x
    x = 70,823,918.78/9,596.06
  6. Step 6: Final answer
    x = 7,380.52

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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.