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Finding the Fourth Proportional to 9,152.54, 12,630.38 and 5,174.94

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Solution

The fourth proportional to 9,152.54, 12,630.38 and 5,174.94 is: 7,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.54 : 12,630.38 = 5,174.94 : x
  2. Step 2: Convert to fraction form
    9,152.54/12,630.38 = 5,174.94/x
  3. Step 3: Cross multiply
    9,152.54x = 12,630.38 × 5,174.94
  4. Step 4: Simplify right side
    9,152.54x = 65,361,458.68
  5. Step 5: Solve for x
    x = 65,361,458.68/9,152.54
  6. Step 6: Final answer
    x = 7,141.35

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Why These Related Problems?

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