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Finding the Fourth Proportional to 9,456.26, 13,049.62 and 5,265.50

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Solution

The fourth proportional to 9,456.26, 13,049.62 and 5,265.50 is: 7,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.26 : 13,049.62 = 5,265.50 : x
  2. Step 2: Convert to fraction form
    9,456.26/13,049.62 = 5,265.50/x
  3. Step 3: Cross multiply
    9,456.26x = 13,049.62 × 5,265.50
  4. Step 4: Simplify right side
    9,456.26x = 68,712,774.11
  5. Step 5: Solve for x
    x = 68,712,774.11/9,456.26
  6. Step 6: Final answer
    x = 7,266.38

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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.