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Finding the Fourth Proportional to 9,389.90, 12,958.07 and 5,853.12

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Solution

The fourth proportional to 9,389.90, 12,958.07 and 5,853.12 is: 8,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.90 : 12,958.07 = 5,853.12 : x
  2. Step 2: Convert to fraction form
    9,389.90/12,958.07 = 5,853.12/x
  3. Step 3: Cross multiply
    9,389.90x = 12,958.07 × 5,853.12
  4. Step 4: Simplify right side
    9,389.90x = 75,845,138.68
  5. Step 5: Solve for x
    x = 75,845,138.68/9,389.90
  6. Step 6: Final answer
    x = 8,077.31

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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.