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Finding the Fourth Proportional to 9,324.45, 12,868.43 and 5,346.81

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Solution

The fourth proportional to 9,324.45, 12,868.43 and 5,346.81 is: 7,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.45 : 12,868.43 = 5,346.81 : x
  2. Step 2: Convert to fraction form
    9,324.45/12,868.43 = 5,346.81/x
  3. Step 3: Cross multiply
    9,324.45x = 12,868.43 × 5,346.81
  4. Step 4: Simplify right side
    9,324.45x = 68,805,023.47
  5. Step 5: Solve for x
    x = 68,805,023.47/9,324.45
  6. Step 6: Final answer
    x = 7,378.99

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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.