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Finding the Fourth Proportional to 9,355.44, 12,907.78 and 5,769.18

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Solution

The fourth proportional to 9,355.44, 12,907.78 and 5,769.18 is: 7,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.44 : 12,907.78 = 5,769.18 : x
  2. Step 2: Convert to fraction form
    9,355.44/12,907.78 = 5,769.18/x
  3. Step 3: Cross multiply
    9,355.44x = 12,907.78 × 5,769.18
  4. Step 4: Simplify right side
    9,355.44x = 74,467,306.22
  5. Step 5: Solve for x
    x = 74,467,306.22/9,355.44
  6. Step 6: Final answer
    x = 7,959.79

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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.