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Finding the Fourth Proportional to 9,469.64, 13,069.35 and 5,489.93

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Solution

The fourth proportional to 9,469.64, 13,069.35 and 5,489.93 is: 7,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.64 : 13,069.35 = 5,489.93 : x
  2. Step 2: Convert to fraction form
    9,469.64/13,069.35 = 5,489.93/x
  3. Step 3: Cross multiply
    9,469.64x = 13,069.35 × 5,489.93
  4. Step 4: Simplify right side
    9,469.64x = 71,749,751.30
  5. Step 5: Solve for x
    x = 71,749,751.30/9,469.64
  6. Step 6: Final answer
    x = 7,576.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.