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Finding the Fourth Proportional to 9,109.77, 12,571.05 and 5,076.81

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Solution

The fourth proportional to 9,109.77, 12,571.05 and 5,076.81 is: 7,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.77 : 12,571.05 = 5,076.81 : x
  2. Step 2: Convert to fraction form
    9,109.77/12,571.05 = 5,076.81/x
  3. Step 3: Cross multiply
    9,109.77x = 12,571.05 × 5,076.81
  4. Step 4: Simplify right side
    9,109.77x = 63,820,822.83
  5. Step 5: Solve for x
    x = 63,820,822.83/9,109.77
  6. Step 6: Final answer
    x = 7,005.76

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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.