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Finding the Fourth Proportional to 9,376.41, 12,938.27 and 5,792.16

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Solution

The fourth proportional to 9,376.41, 12,938.27 and 5,792.16 is: 7,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.41 : 12,938.27 = 5,792.16 : x
  2. Step 2: Convert to fraction form
    9,376.41/12,938.27 = 5,792.16/x
  3. Step 3: Cross multiply
    9,376.41x = 12,938.27 × 5,792.16
  4. Step 4: Simplify right side
    9,376.41x = 74,940,479.75
  5. Step 5: Solve for x
    x = 74,940,479.75/9,376.41
  6. Step 6: Final answer
    x = 7,992.45

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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.