Home / 9,206-13,787.04-5,302.22

Finding the Fourth Proportional to 9,206, 13,787.04 and 5,302.22

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Solution

The fourth proportional to 9,206, 13,787.04 and 5,302.22 is: 7,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206 : 13,787.04 = 5,302.22 : x
  2. Step 2: Convert to fraction form
    9,206/13,787.04 = 5,302.22/x
  3. Step 3: Cross multiply
    9,206x = 13,787.04 × 5,302.22
  4. Step 4: Simplify right side
    9,206x = 73,101,919.23
  5. Step 5: Solve for x
    x = 73,101,919.23/9,206
  6. Step 6: Final answer
    x = 7,940.68

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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.