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Finding the Fourth Proportional to 9,741, 13,442.58 and 5,325

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Solution

The fourth proportional to 9,741, 13,442.58 and 5,325 is: 7,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741 : 13,442.58 = 5,325 : x
  2. Step 2: Convert to fraction form
    9,741/13,442.58 = 5,325/x
  3. Step 3: Cross multiply
    9,741x = 13,442.58 × 5,325
  4. Step 4: Simplify right side
    9,741x = 71,581,738.50
  5. Step 5: Solve for x
    x = 71,581,738.50/9,741
  6. Step 6: Final answer
    x = 7,348.50

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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.