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Finding the Fourth Proportional to 9,107.09, 12,568.02 and 5,128.34

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Solution

The fourth proportional to 9,107.09, 12,568.02 and 5,128.34 is: 7,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.09 : 12,568.02 = 5,128.34 : x
  2. Step 2: Convert to fraction form
    9,107.09/12,568.02 = 5,128.34/x
  3. Step 3: Cross multiply
    9,107.09x = 12,568.02 × 5,128.34
  4. Step 4: Simplify right side
    9,107.09x = 64,452,991.21
  5. Step 5: Solve for x
    x = 64,452,991.21/9,107.09
  6. Step 6: Final answer
    x = 7,077.23

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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.