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Finding the Fourth Proportional to 9,633, 14,449.91 and 3,059.04

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Solution

The fourth proportional to 9,633, 14,449.91 and 3,059.04 is: 4,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633 : 14,449.91 = 3,059.04 : x
  2. Step 2: Convert to fraction form
    9,633/14,449.91 = 3,059.04/x
  3. Step 3: Cross multiply
    9,633x = 14,449.91 × 3,059.04
  4. Step 4: Simplify right side
    9,633x = 44,202,852.69
  5. Step 5: Solve for x
    x = 44,202,852.69/9,633
  6. Step 6: Final answer
    x = 4,588.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.