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Finding the Fourth Proportional to 9,209.99, 12,705.42 and 6,226.85

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Solution

The fourth proportional to 9,209.99, 12,705.42 and 6,226.85 is: 8,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.99 : 12,705.42 = 6,226.85 : x
  2. Step 2: Convert to fraction form
    9,209.99/12,705.42 = 6,226.85/x
  3. Step 3: Cross multiply
    9,209.99x = 12,705.42 × 6,226.85
  4. Step 4: Simplify right side
    9,209.99x = 79,114,744.53
  5. Step 5: Solve for x
    x = 79,114,744.53/9,209.99
  6. Step 6: Final answer
    x = 8,590.10

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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.