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Finding the Fourth Proportional to 9,376.75, 12,940.12 and 5,397.22

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Solution

The fourth proportional to 9,376.75, 12,940.12 and 5,397.22 is: 7,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.75 : 12,940.12 = 5,397.22 : x
  2. Step 2: Convert to fraction form
    9,376.75/12,940.12 = 5,397.22/x
  3. Step 3: Cross multiply
    9,376.75x = 12,940.12 × 5,397.22
  4. Step 4: Simplify right side
    9,376.75x = 69,840,674.47
  5. Step 5: Solve for x
    x = 69,840,674.47/9,376.75
  6. Step 6: Final answer
    x = 7,448.28

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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.