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Finding the Fourth Proportional to 9,993.78, 13,792.32 and 6,014.25

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Solution

The fourth proportional to 9,993.78, 13,792.32 and 6,014.25 is: 8,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.78 : 13,792.32 = 6,014.25 : x
  2. Step 2: Convert to fraction form
    9,993.78/13,792.32 = 6,014.25/x
  3. Step 3: Cross multiply
    9,993.78x = 13,792.32 × 6,014.25
  4. Step 4: Simplify right side
    9,993.78x = 82,950,460.56
  5. Step 5: Solve for x
    x = 82,950,460.56/9,993.78
  6. Step 6: Final answer
    x = 8,300.21

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Similar ratio
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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.