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Finding the Fourth Proportional to 9,152.49, 12,630.38 and 5,173.60

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Solution

The fourth proportional to 9,152.49, 12,630.38 and 5,173.60 is: 7,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.49 : 12,630.38 = 5,173.60 : x
  2. Step 2: Convert to fraction form
    9,152.49/12,630.38 = 5,173.60/x
  3. Step 3: Cross multiply
    9,152.49x = 12,630.38 × 5,173.60
  4. Step 4: Simplify right side
    9,152.49x = 65,344,493.78
  5. Step 5: Solve for x
    x = 65,344,493.78/9,152.49
  6. Step 6: Final answer
    x = 7,139.53

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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.