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Finding the Fourth Proportional to 6,454.71, 8,849.49 and 6,338.07

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Solution

The fourth proportional to 6,454.71, 8,849.49 and 6,338.07 is: 8,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.71 : 8,849.49 = 6,338.07 : x
  2. Step 2: Convert to fraction form
    6,454.71/8,849.49 = 6,338.07/x
  3. Step 3: Cross multiply
    6,454.71x = 8,849.49 × 6,338.07
  4. Step 4: Simplify right side
    6,454.71x = 56,088,611.15
  5. Step 5: Solve for x
    x = 56,088,611.15/6,454.71
  6. Step 6: Final answer
    x = 8,689.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.