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Finding the Fourth Proportional to 6,914.79, 9,543.74 and 6,492.78

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Solution

The fourth proportional to 6,914.79, 9,543.74 and 6,492.78 is: 8,961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.79 : 9,543.74 = 6,492.78 : x
  2. Step 2: Convert to fraction form
    6,914.79/9,543.74 = 6,492.78/x
  3. Step 3: Cross multiply
    6,914.79x = 9,543.74 × 6,492.78
  4. Step 4: Simplify right side
    6,914.79x = 61,965,371.73
  5. Step 5: Solve for x
    x = 61,965,371.73/6,914.79
  6. Step 6: Final answer
    x = 8,961.28

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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.