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Finding the Fourth Proportional to 9,351.50, 12,905.07 and 5,159.75

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Solution

The fourth proportional to 9,351.50, 12,905.07 and 5,159.75 is: 7,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.50 : 12,905.07 = 5,159.75 : x
  2. Step 2: Convert to fraction form
    9,351.50/12,905.07 = 5,159.75/x
  3. Step 3: Cross multiply
    9,351.50x = 12,905.07 × 5,159.75
  4. Step 4: Simplify right side
    9,351.50x = 66,586,934.93
  5. Step 5: Solve for x
    x = 66,586,934.93/9,351.50
  6. Step 6: Final answer
    x = 7,120.46

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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.