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Finding the Fourth Proportional to 9,489.76, 14,232.84 and 3,164.71

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Solution

The fourth proportional to 9,489.76, 14,232.84 and 3,164.71 is: 4,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.76 : 14,232.84 = 3,164.71 : x
  2. Step 2: Convert to fraction form
    9,489.76/14,232.84 = 3,164.71/x
  3. Step 3: Cross multiply
    9,489.76x = 14,232.84 × 3,164.71
  4. Step 4: Simplify right side
    9,489.76x = 45,042,811.08
  5. Step 5: Solve for x
    x = 45,042,811.08/9,489.76
  6. Step 6: Final answer
    x = 4,746.46

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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.