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Finding the Fourth Proportional to 7,026.04, 9,696.06 and 3,882.04

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Solution

The fourth proportional to 7,026.04, 9,696.06 and 3,882.04 is: 5,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.04 : 9,696.06 = 3,882.04 : x
  2. Step 2: Convert to fraction form
    7,026.04/9,696.06 = 3,882.04/x
  3. Step 3: Cross multiply
    7,026.04x = 9,696.06 × 3,882.04
  4. Step 4: Simplify right side
    7,026.04x = 37,640,492.76
  5. Step 5: Solve for x
    x = 37,640,492.76/7,026.04
  6. Step 6: Final answer
    x = 5,357.28

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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.