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Finding the Fourth Proportional to 9,632.94, 14,449.27 and 3,059.03

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Solution

The fourth proportional to 9,632.94, 14,449.27 and 3,059.03 is: 4,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.94 : 14,449.27 = 3,059.03 : x
  2. Step 2: Convert to fraction form
    9,632.94/14,449.27 = 3,059.03/x
  3. Step 3: Cross multiply
    9,632.94x = 14,449.27 × 3,059.03
  4. Step 4: Simplify right side
    9,632.94x = 44,200,750.41
  5. Step 5: Solve for x
    x = 44,200,750.41/9,632.94
  6. Step 6: Final answer
    x = 4,588.50

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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.