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Finding the Fourth Proportional to 9,312.66, 13,982.66 and 5,817.56

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Solution

The fourth proportional to 9,312.66, 13,982.66 and 5,817.56 is: 8,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.66 : 13,982.66 = 5,817.56 : x
  2. Step 2: Convert to fraction form
    9,312.66/13,982.66 = 5,817.56/x
  3. Step 3: Cross multiply
    9,312.66x = 13,982.66 × 5,817.56
  4. Step 4: Simplify right side
    9,312.66x = 81,344,964.98
  5. Step 5: Solve for x
    x = 81,344,964.98/9,312.66
  6. Step 6: Final answer
    x = 8,734.88

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Why These Related Problems?

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