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Finding the Fourth Proportional to 6,329.88, 9,501.50 and 5,173.20

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Solution

The fourth proportional to 6,329.88, 9,501.50 and 5,173.20 is: 7,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.88 : 9,501.50 = 5,173.20 : x
  2. Step 2: Convert to fraction form
    6,329.88/9,501.50 = 5,173.20/x
  3. Step 3: Cross multiply
    6,329.88x = 9,501.50 × 5,173.20
  4. Step 4: Simplify right side
    6,329.88x = 49,153,172.73
  5. Step 5: Solve for x
    x = 49,153,172.73/6,329.88
  6. Step 6: Final answer
    x = 7,765.26

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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.