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Finding the Fourth Proportional to 9,525.74, 13,147.92 and 6,344.33

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Solution

The fourth proportional to 9,525.74, 13,147.92 and 6,344.33 is: 8,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.74 : 13,147.92 = 6,344.33 : x
  2. Step 2: Convert to fraction form
    9,525.74/13,147.92 = 6,344.33/x
  3. Step 3: Cross multiply
    9,525.74x = 13,147.92 × 6,344.33
  4. Step 4: Simplify right side
    9,525.74x = 83,414,677.55
  5. Step 5: Solve for x
    x = 83,414,677.55/9,525.74
  6. Step 6: Final answer
    x = 8,756.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.