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Finding the Fourth Proportional to 6,878.02, 9,492.26 and 3,894.38

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Solution

The fourth proportional to 6,878.02, 9,492.26 and 3,894.38 is: 5,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.02 : 9,492.26 = 3,894.38 : x
  2. Step 2: Convert to fraction form
    6,878.02/9,492.26 = 3,894.38/x
  3. Step 3: Cross multiply
    6,878.02x = 9,492.26 × 3,894.38
  4. Step 4: Simplify right side
    6,878.02x = 36,966,448.03
  5. Step 5: Solve for x
    x = 36,966,448.03/6,878.02
  6. Step 6: Final answer
    x = 5,374.58

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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.