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Finding the Fourth Proportional to 9,506.66, 14,250.27 and 3,660.98

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Solution

The fourth proportional to 9,506.66, 14,250.27 and 3,660.98 is: 5,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.66 : 14,250.27 = 3,660.98 : x
  2. Step 2: Convert to fraction form
    9,506.66/14,250.27 = 3,660.98/x
  3. Step 3: Cross multiply
    9,506.66x = 14,250.27 × 3,660.98
  4. Step 4: Simplify right side
    9,506.66x = 52,169,953.46
  5. Step 5: Solve for x
    x = 52,169,953.46/9,506.66
  6. Step 6: Final answer
    x = 5,487.73

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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.