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Finding the Fourth Proportional to 9,494, 14,239.38 and 2,566.88

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Solution

The fourth proportional to 9,494, 14,239.38 and 2,566.88 is: 3,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494 : 14,239.38 = 2,566.88 : x
  2. Step 2: Convert to fraction form
    9,494/14,239.38 = 2,566.88/x
  3. Step 3: Cross multiply
    9,494x = 14,239.38 × 2,566.88
  4. Step 4: Simplify right side
    9,494x = 36,550,779.73
  5. Step 5: Solve for x
    x = 36,550,779.73/9,494
  6. Step 6: Final answer
    x = 3,849.88

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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.