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Finding the Fourth Proportional to 9,299.58, 12,838.42 and 7,170.43

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Solution

The fourth proportional to 9,299.58, 12,838.42 and 7,170.43 is: 9,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.58 : 12,838.42 = 7,170.43 : x
  2. Step 2: Convert to fraction form
    9,299.58/12,838.42 = 7,170.43/x
  3. Step 3: Cross multiply
    9,299.58x = 12,838.42 × 7,170.43
  4. Step 4: Simplify right side
    9,299.58x = 92,056,991.92
  5. Step 5: Solve for x
    x = 92,056,991.92/9,299.58
  6. Step 6: Final answer
    x = 9,899.05

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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.