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Finding the Fourth Proportional to 9,584.76, 14,374.98 and 2,659.80

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Solution

The fourth proportional to 9,584.76, 14,374.98 and 2,659.80 is: 3,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.76 : 14,374.98 = 2,659.80 : x
  2. Step 2: Convert to fraction form
    9,584.76/14,374.98 = 2,659.80/x
  3. Step 3: Cross multiply
    9,584.76x = 14,374.98 × 2,659.80
  4. Step 4: Simplify right side
    9,584.76x = 38,234,571.80
  5. Step 5: Solve for x
    x = 38,234,571.80/9,584.76
  6. Step 6: Final answer
    x = 3,989.10

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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.