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Finding the Fourth Proportional to 9,156.25, 13,726.23 and 3,311.56

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Solution

The fourth proportional to 9,156.25, 13,726.23 and 3,311.56 is: 4,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.25 : 13,726.23 = 3,311.56 : x
  2. Step 2: Convert to fraction form
    9,156.25/13,726.23 = 3,311.56/x
  3. Step 3: Cross multiply
    9,156.25x = 13,726.23 × 3,311.56
  4. Step 4: Simplify right side
    9,156.25x = 45,455,234.22
  5. Step 5: Solve for x
    x = 45,455,234.22/9,156.25
  6. Step 6: Final answer
    x = 4,964.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.