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Finding the Fourth Proportional to 6,934.20, 9,563.82 and 4,136.76

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Solution

The fourth proportional to 6,934.20, 9,563.82 and 4,136.76 is: 5,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.20 : 9,563.82 = 4,136.76 : x
  2. Step 2: Convert to fraction form
    6,934.20/9,563.82 = 4,136.76/x
  3. Step 3: Cross multiply
    6,934.20x = 9,563.82 × 4,136.76
  4. Step 4: Simplify right side
    6,934.20x = 39,563,228.02
  5. Step 5: Solve for x
    x = 39,563,228.02/6,934.20
  6. Step 6: Final answer
    x = 5,705.52

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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.