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Finding the Fourth Proportional to 9,104.54, 13,662.90 and 4,174.65

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Solution

The fourth proportional to 9,104.54, 13,662.90 and 4,174.65 is: 6,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.54 : 13,662.90 = 4,174.65 : x
  2. Step 2: Convert to fraction form
    9,104.54/13,662.90 = 4,174.65/x
  3. Step 3: Cross multiply
    9,104.54x = 13,662.90 × 4,174.65
  4. Step 4: Simplify right side
    9,104.54x = 57,037,825.49
  5. Step 5: Solve for x
    x = 57,037,825.49/9,104.54
  6. Step 6: Final answer
    x = 6,264.77

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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.