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Finding the Fourth Proportional to 9,654.66, 14,472.73 and 3,076.55

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Solution

The fourth proportional to 9,654.66, 14,472.73 and 3,076.55 is: 4,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.66 : 14,472.73 = 3,076.55 : x
  2. Step 2: Convert to fraction form
    9,654.66/14,472.73 = 3,076.55/x
  3. Step 3: Cross multiply
    9,654.66x = 14,472.73 × 3,076.55
  4. Step 4: Simplify right side
    9,654.66x = 44,526,045.93
  5. Step 5: Solve for x
    x = 44,526,045.93/9,654.66
  6. Step 6: Final answer
    x = 4,611.87

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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.