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Finding the Fourth Proportional to 9,493.62, 14,238.78 and 2,566.50

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Solution

The fourth proportional to 9,493.62, 14,238.78 and 2,566.50 is: 3,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.62 : 14,238.78 = 2,566.50 : x
  2. Step 2: Convert to fraction form
    9,493.62/14,238.78 = 2,566.50/x
  3. Step 3: Cross multiply
    9,493.62x = 14,238.78 × 2,566.50
  4. Step 4: Simplify right side
    9,493.62x = 36,543,828.87
  5. Step 5: Solve for x
    x = 36,543,828.87/9,493.62
  6. Step 6: Final answer
    x = 3,849.30

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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.