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Finding the Fourth Proportional to 9,107.44, 12,568.30 and 5,128.62

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Solution

The fourth proportional to 9,107.44, 12,568.30 and 5,128.62 is: 7,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.44 : 12,568.30 = 5,128.62 : x
  2. Step 2: Convert to fraction form
    9,107.44/12,568.30 = 5,128.62/x
  3. Step 3: Cross multiply
    9,107.44x = 12,568.30 × 5,128.62
  4. Step 4: Simplify right side
    9,107.44x = 64,457,996.43
  5. Step 5: Solve for x
    x = 64,457,996.43/9,107.44
  6. Step 6: Final answer
    x = 7,077.51

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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.