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Finding the Fourth Proportional to 9,351.14, 12,903.99 and 5,159.42

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Solution

The fourth proportional to 9,351.14, 12,903.99 and 5,159.42 is: 7,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.14 : 12,903.99 = 5,159.42 : x
  2. Step 2: Convert to fraction form
    9,351.14/12,903.99 = 5,159.42/x
  3. Step 3: Cross multiply
    9,351.14x = 12,903.99 × 5,159.42
  4. Step 4: Simplify right side
    9,351.14x = 66,577,104.09
  5. Step 5: Solve for x
    x = 66,577,104.09/9,351.14
  6. Step 6: Final answer
    x = 7,119.68

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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.