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Finding the Fourth Proportional to 9,537.43, 14,314.34 and 8,299.04

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Solution

The fourth proportional to 9,537.43, 14,314.34 and 8,299.04 is: 12,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.43 : 14,314.34 = 8,299.04 : x
  2. Step 2: Convert to fraction form
    9,537.43/14,314.34 = 8,299.04/x
  3. Step 3: Cross multiply
    9,537.43x = 14,314.34 × 8,299.04
  4. Step 4: Simplify right side
    9,537.43x = 118,795,336.77
  5. Step 5: Solve for x
    x = 118,795,336.77/9,537.43
  6. Step 6: Final answer
    x = 12,455.70

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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.