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Finding the Fourth Proportional to 9,570.21, 13,209.49 and 6,212.84

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Solution

The fourth proportional to 9,570.21, 13,209.49 and 6,212.84 is: 8,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.21 : 13,209.49 = 6,212.84 : x
  2. Step 2: Convert to fraction form
    9,570.21/13,209.49 = 6,212.84/x
  3. Step 3: Cross multiply
    9,570.21x = 13,209.49 × 6,212.84
  4. Step 4: Simplify right side
    9,570.21x = 82,068,447.85
  5. Step 5: Solve for x
    x = 82,068,447.85/9,570.21
  6. Step 6: Final answer
    x = 8,575.41

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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.