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Finding the Fourth Proportional to 9,598.26, 14,372.48 and 8,220.46

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Solution

The fourth proportional to 9,598.26, 14,372.48 and 8,220.46 is: 12,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.26 : 14,372.48 = 8,220.46 : x
  2. Step 2: Convert to fraction form
    9,598.26/14,372.48 = 8,220.46/x
  3. Step 3: Cross multiply
    9,598.26x = 14,372.48 × 8,220.46
  4. Step 4: Simplify right side
    9,598.26x = 118,148,396.94
  5. Step 5: Solve for x
    x = 118,148,396.94/9,598.26
  6. Step 6: Final answer
    x = 12,309.36

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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.