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Finding the Fourth Proportional to 6,481.76, 8,940.12 and 4,492.40

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Solution

The fourth proportional to 6,481.76, 8,940.12 and 4,492.40 is: 6,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.76 : 8,940.12 = 4,492.40 : x
  2. Step 2: Convert to fraction form
    6,481.76/8,940.12 = 4,492.40/x
  3. Step 3: Cross multiply
    6,481.76x = 8,940.12 × 4,492.40
  4. Step 4: Simplify right side
    6,481.76x = 40,162,595.09
  5. Step 5: Solve for x
    x = 40,162,595.09/6,481.76
  6. Step 6: Final answer
    x = 6,196.25

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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.