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Finding the Fourth Proportional to 9,109.86, 12,571.28 and 5,131.34

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Solution

The fourth proportional to 9,109.86, 12,571.28 and 5,131.34 is: 7,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.86 : 12,571.28 = 5,131.34 : x
  2. Step 2: Convert to fraction form
    9,109.86/12,571.28 = 5,131.34/x
  3. Step 3: Cross multiply
    9,109.86x = 12,571.28 × 5,131.34
  4. Step 4: Simplify right side
    9,109.86x = 64,507,536.93
  5. Step 5: Solve for x
    x = 64,507,536.93/9,109.86
  6. Step 6: Final answer
    x = 7,081.07

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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.