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Finding the Fourth Proportional to 9,122.84, 13,685.00 and 2,883.27

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Solution

The fourth proportional to 9,122.84, 13,685.00 and 2,883.27 is: 4,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.84 : 13,685.00 = 2,883.27 : x
  2. Step 2: Convert to fraction form
    9,122.84/13,685.00 = 2,883.27/x
  3. Step 3: Cross multiply
    9,122.84x = 13,685.00 × 2,883.27
  4. Step 4: Simplify right side
    9,122.84x = 39,457,535.53
  5. Step 5: Solve for x
    x = 39,457,535.53/9,122.84
  6. Step 6: Final answer
    x = 4,325.14

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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.