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Finding the Fourth Proportional to 9,378.93, 12,943.85 and 5,400.21

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Solution

The fourth proportional to 9,378.93, 12,943.85 and 5,400.21 is: 7,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.93 : 12,943.85 = 5,400.21 : x
  2. Step 2: Convert to fraction form
    9,378.93/12,943.85 = 5,400.21/x
  3. Step 3: Cross multiply
    9,378.93x = 12,943.85 × 5,400.21
  4. Step 4: Simplify right side
    9,378.93x = 69,899,481.21
  5. Step 5: Solve for x
    x = 69,899,481.21/9,378.93
  6. Step 6: Final answer
    x = 7,452.82

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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.