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Finding the Fourth Proportional to 9,109.77, 12,571.02 and 5,131.12

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Solution

The fourth proportional to 9,109.77, 12,571.02 and 5,131.12 is: 7,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.77 : 12,571.02 = 5,131.12 : x
  2. Step 2: Convert to fraction form
    9,109.77/12,571.02 = 5,131.12/x
  3. Step 3: Cross multiply
    9,109.77x = 12,571.02 × 5,131.12
  4. Step 4: Simplify right side
    9,109.77x = 64,503,412.14
  5. Step 5: Solve for x
    x = 64,503,412.14/9,109.77
  6. Step 6: Final answer
    x = 7,080.69

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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.