Home / 27,786.32-41,683.80-9,314

Finding the Fourth Proportional to 27,786.32, 41,683.80 and 9,314

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Solution

The fourth proportional to 27,786.32, 41,683.80 and 9,314 is: 13,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786.32 : 41,683.80 = 9,314 : x
  2. Step 2: Convert to fraction form
    27,786.32/41,683.80 = 9,314/x
  3. Step 3: Cross multiply
    27,786.32x = 41,683.80 × 9,314
  4. Step 4: Simplify right side
    27,786.32x = 388,242,913.20
  5. Step 5: Solve for x
    x = 388,242,913.20/27,786.32
  6. Step 6: Final answer
    x = 13,972.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.