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Finding the Fourth Proportional to 9,491.58, 14,238.51 and 3,948.67

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Solution

The fourth proportional to 9,491.58, 14,238.51 and 3,948.67 is: 5,923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.58 : 14,238.51 = 3,948.67 : x
  2. Step 2: Convert to fraction form
    9,491.58/14,238.51 = 3,948.67/x
  3. Step 3: Cross multiply
    9,491.58x = 14,238.51 × 3,948.67
  4. Step 4: Simplify right side
    9,491.58x = 56,223,231.42
  5. Step 5: Solve for x
    x = 56,223,231.42/9,491.58
  6. Step 6: Final answer
    x = 5,923.48

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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.