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Finding the Fourth Proportional to 6,878.76, 9,492.42 and 3,894.76

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Solution

The fourth proportional to 6,878.76, 9,492.42 and 3,894.76 is: 5,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.76 : 9,492.42 = 3,894.76 : x
  2. Step 2: Convert to fraction form
    6,878.76/9,492.42 = 3,894.76/x
  3. Step 3: Cross multiply
    6,878.76x = 9,492.42 × 3,894.76
  4. Step 4: Simplify right side
    6,878.76x = 36,970,697.72
  5. Step 5: Solve for x
    x = 36,970,697.72/6,878.76
  6. Step 6: Final answer
    x = 5,374.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.