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Finding the Fourth Proportional to 9,658.01, 14,489.04 and 3,084.86

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Solution

The fourth proportional to 9,658.01, 14,489.04 and 3,084.86 is: 4,627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.01 : 14,489.04 = 3,084.86 : x
  2. Step 2: Convert to fraction form
    9,658.01/14,489.04 = 3,084.86/x
  3. Step 3: Cross multiply
    9,658.01x = 14,489.04 × 3,084.86
  4. Step 4: Simplify right side
    9,658.01x = 44,696,659.93
  5. Step 5: Solve for x
    x = 44,696,659.93/9,658.01
  6. Step 6: Final answer
    x = 4,627.94

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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.