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Finding the Fourth Proportional to 9,376.82, 12,940.35 and 5,128.16

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Solution

The fourth proportional to 9,376.82, 12,940.35 and 5,128.16 is: 7,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.82 : 12,940.35 = 5,128.16 : x
  2. Step 2: Convert to fraction form
    9,376.82/12,940.35 = 5,128.16/x
  3. Step 3: Cross multiply
    9,376.82x = 12,940.35 × 5,128.16
  4. Step 4: Simplify right side
    9,376.82x = 66,360,217.61
  5. Step 5: Solve for x
    x = 66,360,217.61/9,376.82
  6. Step 6: Final answer
    x = 7,077.05

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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.