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Finding the Fourth Proportional to 9,577.62, 13,205.70 and 8,249.04

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Solution

The fourth proportional to 9,577.62, 13,205.70 and 8,249.04 is: 11,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.62 : 13,205.70 = 8,249.04 : x
  2. Step 2: Convert to fraction form
    9,577.62/13,205.70 = 8,249.04/x
  3. Step 3: Cross multiply
    9,577.62x = 13,205.70 × 8,249.04
  4. Step 4: Simplify right side
    9,577.62x = 108,934,347.53
  5. Step 5: Solve for x
    x = 108,934,347.53/9,577.62
  6. Step 6: Final answer
    x = 11,373.84

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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.