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Finding the Fourth Proportional to 9,659.60, 14,494.20 and 3,816.40

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Solution

The fourth proportional to 9,659.60, 14,494.20 and 3,816.40 is: 5,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.60 : 14,494.20 = 3,816.40 : x
  2. Step 2: Convert to fraction form
    9,659.60/14,494.20 = 3,816.40/x
  3. Step 3: Cross multiply
    9,659.60x = 14,494.20 × 3,816.40
  4. Step 4: Simplify right side
    9,659.60x = 55,315,664.88
  5. Step 5: Solve for x
    x = 55,315,664.88/9,659.60
  6. Step 6: Final answer
    x = 5,726.50

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Similar ratio
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1.5x scale

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.