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Finding the Fourth Proportional to 9,382.14, 12,943.14 and 5,401.80

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Solution

The fourth proportional to 9,382.14, 12,943.14 and 5,401.80 is: 7,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.14 : 12,943.14 = 5,401.80 : x
  2. Step 2: Convert to fraction form
    9,382.14/12,943.14 = 5,401.80/x
  3. Step 3: Cross multiply
    9,382.14x = 12,943.14 × 5,401.80
  4. Step 4: Simplify right side
    9,382.14x = 69,916,253.65
  5. Step 5: Solve for x
    x = 69,916,253.65/9,382.14
  6. Step 6: Final answer
    x = 7,452.06

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1.5x scale

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.