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Finding the Fourth Proportional to 6,471.09, 8,926.07 and 4,880.25

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Solution

The fourth proportional to 6,471.09, 8,926.07 and 4,880.25 is: 6,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.09 : 8,926.07 = 4,880.25 : x
  2. Step 2: Convert to fraction form
    6,471.09/8,926.07 = 4,880.25/x
  3. Step 3: Cross multiply
    6,471.09x = 8,926.07 × 4,880.25
  4. Step 4: Simplify right side
    6,471.09x = 43,561,428.72
  5. Step 5: Solve for x
    x = 43,561,428.72/6,471.09
  6. Step 6: Final answer
    x = 6,731.70

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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.