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Finding the Fourth Proportional to 10,338.99, 14,267.79 and 6,305.84

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Solution

The fourth proportional to 10,338.99, 14,267.79 and 6,305.84 is: 8,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.99 : 14,267.79 = 6,305.84 : x
  2. Step 2: Convert to fraction form
    10,338.99/14,267.79 = 6,305.84/x
  3. Step 3: Cross multiply
    10,338.99x = 14,267.79 × 6,305.84
  4. Step 4: Simplify right side
    10,338.99x = 89,970,329.55
  5. Step 5: Solve for x
    x = 89,970,329.55/10,338.99
  6. Step 6: Final answer
    x = 8,702.04

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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.