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Finding the Fourth Proportional to 9,624.21, 13,274.06 and 6,645.03

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Solution

The fourth proportional to 9,624.21, 13,274.06 and 6,645.03 is: 9,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.21 : 13,274.06 = 6,645.03 : x
  2. Step 2: Convert to fraction form
    9,624.21/13,274.06 = 6,645.03/x
  3. Step 3: Cross multiply
    9,624.21x = 13,274.06 × 6,645.03
  4. Step 4: Simplify right side
    9,624.21x = 88,206,493.70
  5. Step 5: Solve for x
    x = 88,206,493.70/9,624.21
  6. Step 6: Final answer
    x = 9,165.06

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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.