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Finding the Fourth Proportional to 9,212.98, 12,713.46 and 5,233.58

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Solution

The fourth proportional to 9,212.98, 12,713.46 and 5,233.58 is: 7,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.98 : 12,713.46 = 5,233.58 : x
  2. Step 2: Convert to fraction form
    9,212.98/12,713.46 = 5,233.58/x
  3. Step 3: Cross multiply
    9,212.98x = 12,713.46 × 5,233.58
  4. Step 4: Simplify right side
    9,212.98x = 66,536,909.99
  5. Step 5: Solve for x
    x = 66,536,909.99/9,212.98
  6. Step 6: Final answer
    x = 7,222.08

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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.