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Finding the Fourth Proportional to 6,878.12, 9,492.39 and 3,894.35

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Solution

The fourth proportional to 6,878.12, 9,492.39 and 3,894.35 is: 5,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.12 : 9,492.39 = 3,894.35 : x
  2. Step 2: Convert to fraction form
    6,878.12/9,492.39 = 3,894.35/x
  3. Step 3: Cross multiply
    6,878.12x = 9,492.39 × 3,894.35
  4. Step 4: Simplify right side
    6,878.12x = 36,966,641.53
  5. Step 5: Solve for x
    x = 36,966,641.53/6,878.12
  6. Step 6: Final answer
    x = 5,374.53

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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.