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Finding the Fourth Proportional to 9,205.45, 12,693.98 and 6,515.44

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Solution

The fourth proportional to 9,205.45, 12,693.98 and 6,515.44 is: 8,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.45 : 12,693.98 = 6,515.44 : x
  2. Step 2: Convert to fraction form
    9,205.45/12,693.98 = 6,515.44/x
  3. Step 3: Cross multiply
    9,205.45x = 12,693.98 × 6,515.44
  4. Step 4: Simplify right side
    9,205.45x = 82,706,849.60
  5. Step 5: Solve for x
    x = 82,706,849.60/9,205.45
  6. Step 6: Final answer
    x = 8,984.56

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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.