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Finding the Fourth Proportional to 9,389.95, 12,958.13 and 5,853.17

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Solution

The fourth proportional to 9,389.95, 12,958.13 and 5,853.17 is: 8,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.95 : 12,958.13 = 5,853.17 : x
  2. Step 2: Convert to fraction form
    9,389.95/12,958.13 = 5,853.17/x
  3. Step 3: Cross multiply
    9,389.95x = 12,958.13 × 5,853.17
  4. Step 4: Simplify right side
    9,389.95x = 75,846,184.80
  5. Step 5: Solve for x
    x = 75,846,184.80/9,389.95
  6. Step 6: Final answer
    x = 8,077.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.