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Finding the Fourth Proportional to 10,704.46, 14,757.33 and 9,228.10

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Solution

The fourth proportional to 10,704.46, 14,757.33 and 9,228.10 is: 12,722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.46 : 14,757.33 = 9,228.10 : x
  2. Step 2: Convert to fraction form
    10,704.46/14,757.33 = 9,228.10/x
  3. Step 3: Cross multiply
    10,704.46x = 14,757.33 × 9,228.10
  4. Step 4: Simplify right side
    10,704.46x = 136,182,116.97
  5. Step 5: Solve for x
    x = 136,182,116.97/10,704.46
  6. Step 6: Final answer
    x = 12,722.00

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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.