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Finding the Fourth Proportional to 9,659.54, 14,486.06 and 3,816.20

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Solution

The fourth proportional to 9,659.54, 14,486.06 and 3,816.20 is: 5,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.54 : 14,486.06 = 3,816.20 : x
  2. Step 2: Convert to fraction form
    9,659.54/14,486.06 = 3,816.20/x
  3. Step 3: Cross multiply
    9,659.54x = 14,486.06 × 3,816.20
  4. Step 4: Simplify right side
    9,659.54x = 55,281,747.93
  5. Step 5: Solve for x
    x = 55,281,747.93/9,659.54
  6. Step 6: Final answer
    x = 5,723.02

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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.