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Finding the Fourth Proportional to 9,507.12, 13,091.10 and 8,617.28

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Solution

The fourth proportional to 9,507.12, 13,091.10 and 8,617.28 is: 11,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.12 : 13,091.10 = 8,617.28 : x
  2. Step 2: Convert to fraction form
    9,507.12/13,091.10 = 8,617.28/x
  3. Step 3: Cross multiply
    9,507.12x = 13,091.10 × 8,617.28
  4. Step 4: Simplify right side
    9,507.12x = 112,809,674.21
  5. Step 5: Solve for x
    x = 112,809,674.21/9,507.12
  6. Step 6: Final answer
    x = 11,865.81

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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.