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Finding the Fourth Proportional to 9,006.21, 13,510.76 and 3,812.13

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Solution

The fourth proportional to 9,006.21, 13,510.76 and 3,812.13 is: 5,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.21 : 13,510.76 = 3,812.13 : x
  2. Step 2: Convert to fraction form
    9,006.21/13,510.76 = 3,812.13/x
  3. Step 3: Cross multiply
    9,006.21x = 13,510.76 × 3,812.13
  4. Step 4: Simplify right side
    9,006.21x = 51,504,754.46
  5. Step 5: Solve for x
    x = 51,504,754.46/9,006.21
  6. Step 6: Final answer
    x = 5,718.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.