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Finding the Fourth Proportional to 9,351.90, 12,905.89 and 5,160.42

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Solution

The fourth proportional to 9,351.90, 12,905.89 and 5,160.42 is: 7,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.90 : 12,905.89 = 5,160.42 : x
  2. Step 2: Convert to fraction form
    9,351.90/12,905.89 = 5,160.42/x
  3. Step 3: Cross multiply
    9,351.90x = 12,905.89 × 5,160.42
  4. Step 4: Simplify right side
    9,351.90x = 66,599,812.87
  5. Step 5: Solve for x
    x = 66,599,812.87/9,351.90
  6. Step 6: Final answer
    x = 7,121.53

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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.