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Finding the Fourth Proportional to 9,491.65, 14,246.19 and 4,814.92

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Solution

The fourth proportional to 9,491.65, 14,246.19 and 4,814.92 is: 7,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.65 : 14,246.19 = 4,814.92 : x
  2. Step 2: Convert to fraction form
    9,491.65/14,246.19 = 4,814.92/x
  3. Step 3: Cross multiply
    9,491.65x = 14,246.19 × 4,814.92
  4. Step 4: Simplify right side
    9,491.65x = 68,594,265.15
  5. Step 5: Solve for x
    x = 68,594,265.15/9,491.65
  6. Step 6: Final answer
    x = 7,226.80

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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.