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Finding the Fourth Proportional to 9,962.70, 13,748.50 and 5,486.52

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Solution

The fourth proportional to 9,962.70, 13,748.50 and 5,486.52 is: 7,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.70 : 13,748.50 = 5,486.52 : x
  2. Step 2: Convert to fraction form
    9,962.70/13,748.50 = 5,486.52/x
  3. Step 3: Cross multiply
    9,962.70x = 13,748.50 × 5,486.52
  4. Step 4: Simplify right side
    9,962.70x = 75,431,420.22
  5. Step 5: Solve for x
    x = 75,431,420.22/9,962.70
  6. Step 6: Final answer
    x = 7,571.38

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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.