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Finding the Fourth Proportional to 8,952.50, 13,427.31 and 6,347.54

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Solution

The fourth proportional to 8,952.50, 13,427.31 and 6,347.54 is: 9,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952.50 : 13,427.31 = 6,347.54 : x
  2. Step 2: Convert to fraction form
    8,952.50/13,427.31 = 6,347.54/x
  3. Step 3: Cross multiply
    8,952.50x = 13,427.31 × 6,347.54
  4. Step 4: Simplify right side
    8,952.50x = 85,230,387.32
  5. Step 5: Solve for x
    x = 85,230,387.32/8,952.50
  6. Step 6: Final answer
    x = 9,520.29

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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.