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Finding the Fourth Proportional to 10,014.84, 13,822.11 and 9,571.91

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Solution

The fourth proportional to 10,014.84, 13,822.11 and 9,571.91 is: 13,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.84 : 13,822.11 = 9,571.91 : x
  2. Step 2: Convert to fraction form
    10,014.84/13,822.11 = 9,571.91/x
  3. Step 3: Cross multiply
    10,014.84x = 13,822.11 × 9,571.91
  4. Step 4: Simplify right side
    10,014.84x = 132,303,923.82
  5. Step 5: Solve for x
    x = 132,303,923.82/10,014.84
  6. Step 6: Final answer
    x = 13,210.79

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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.