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Finding the Fourth Proportional to 9,491.56, 14,238.06 and 2,566

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Solution

The fourth proportional to 9,491.56, 14,238.06 and 2,566 is: 3,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.56 : 14,238.06 = 2,566 : x
  2. Step 2: Convert to fraction form
    9,491.56/14,238.06 = 2,566/x
  3. Step 3: Cross multiply
    9,491.56x = 14,238.06 × 2,566
  4. Step 4: Simplify right side
    9,491.56x = 36,534,861.96
  5. Step 5: Solve for x
    x = 36,534,861.96/9,491.56
  6. Step 6: Final answer
    x = 3,849.19

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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.