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Finding the Fourth Proportional to 9,174.21, 12,655.68 and 6,344.48

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Solution

The fourth proportional to 9,174.21, 12,655.68 and 6,344.48 is: 8,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.21 : 12,655.68 = 6,344.48 : x
  2. Step 2: Convert to fraction form
    9,174.21/12,655.68 = 6,344.48/x
  3. Step 3: Cross multiply
    9,174.21x = 12,655.68 × 6,344.48
  4. Step 4: Simplify right side
    9,174.21x = 80,293,645.37
  5. Step 5: Solve for x
    x = 80,293,645.37/9,174.21
  6. Step 6: Final answer
    x = 8,752.10

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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.