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Finding the Fourth Proportional to 9,848.32, 14,735.04 and 5,469.28

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Solution

The fourth proportional to 9,848.32, 14,735.04 and 5,469.28 is: 8,183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.32 : 14,735.04 = 5,469.28 : x
  2. Step 2: Convert to fraction form
    9,848.32/14,735.04 = 5,469.28/x
  3. Step 3: Cross multiply
    9,848.32x = 14,735.04 × 5,469.28
  4. Step 4: Simplify right side
    9,848.32x = 80,590,059.57
  5. Step 5: Solve for x
    x = 80,590,059.57/9,848.32
  6. Step 6: Final answer
    x = 8,183.13

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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.