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Finding the Fourth Proportional to 9,376.80, 12,938.74 and 5,344.14

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Solution

The fourth proportional to 9,376.80, 12,938.74 and 5,344.14 is: 7,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.80 : 12,938.74 = 5,344.14 : x
  2. Step 2: Convert to fraction form
    9,376.80/12,938.74 = 5,344.14/x
  3. Step 3: Cross multiply
    9,376.80x = 12,938.74 × 5,344.14
  4. Step 4: Simplify right side
    9,376.80x = 69,146,473.14
  5. Step 5: Solve for x
    x = 69,146,473.14/9,376.80
  6. Step 6: Final answer
    x = 7,374.21

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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.