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Finding the Fourth Proportional to 9,103.32, 13,651.09 and 3,840.68

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Solution

The fourth proportional to 9,103.32, 13,651.09 and 3,840.68 is: 5,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.32 : 13,651.09 = 3,840.68 : x
  2. Step 2: Convert to fraction form
    9,103.32/13,651.09 = 3,840.68/x
  3. Step 3: Cross multiply
    9,103.32x = 13,651.09 × 3,840.68
  4. Step 4: Simplify right side
    9,103.32x = 52,429,492.87
  5. Step 5: Solve for x
    x = 52,429,492.87/9,103.32
  6. Step 6: Final answer
    x = 5,759.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.