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Finding the Fourth Proportional to 6,877.98, 9,492.19 and 4,226.31

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Solution

The fourth proportional to 6,877.98, 9,492.19 and 4,226.31 is: 5,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.98 : 9,492.19 = 4,226.31 : x
  2. Step 2: Convert to fraction form
    6,877.98/9,492.19 = 4,226.31/x
  3. Step 3: Cross multiply
    6,877.98x = 9,492.19 × 4,226.31
  4. Step 4: Simplify right side
    6,877.98x = 40,116,926.95
  5. Step 5: Solve for x
    x = 40,116,926.95/6,877.98
  6. Step 6: Final answer
    x = 5,832.66

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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.