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Finding the Fourth Proportional to 6,377.40, 8,774.70 and 6,230.04

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Solution

The fourth proportional to 6,377.40, 8,774.70 and 6,230.04 is: 8,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.40 : 8,774.70 = 6,230.04 : x
  2. Step 2: Convert to fraction form
    6,377.40/8,774.70 = 6,230.04/x
  3. Step 3: Cross multiply
    6,377.40x = 8,774.70 × 6,230.04
  4. Step 4: Simplify right side
    6,377.40x = 54,666,731.99
  5. Step 5: Solve for x
    x = 54,666,731.99/6,377.40
  6. Step 6: Final answer
    x = 8,571.95

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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.