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Finding the Fourth Proportional to 9,790.19, 14,672.96 and 7,022.26

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Solution

The fourth proportional to 9,790.19, 14,672.96 and 7,022.26 is: 10,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.19 : 14,672.96 = 7,022.26 : x
  2. Step 2: Convert to fraction form
    9,790.19/14,672.96 = 7,022.26/x
  3. Step 3: Cross multiply
    9,790.19x = 14,672.96 × 7,022.26
  4. Step 4: Simplify right side
    9,790.19x = 103,037,340.09
  5. Step 5: Solve for x
    x = 103,037,340.09/9,790.19
  6. Step 6: Final answer
    x = 10,524.55

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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.