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Finding the Fourth Proportional to 9,491.83, 14,238.89 and 3,948.93

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Solution

The fourth proportional to 9,491.83, 14,238.89 and 3,948.93 is: 5,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.83 : 14,238.89 = 3,948.93 : x
  2. Step 2: Convert to fraction form
    9,491.83/14,238.89 = 3,948.93/x
  3. Step 3: Cross multiply
    9,491.83x = 14,238.89 × 3,948.93
  4. Step 4: Simplify right side
    9,491.83x = 56,228,288.95
  5. Step 5: Solve for x
    x = 56,228,288.95/9,491.83
  6. Step 6: Final answer
    x = 5,923.86

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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.