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Finding the Fourth Proportional to 9,491.34, 14,235.73 and 2,827.71

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Solution

The fourth proportional to 9,491.34, 14,235.73 and 2,827.71 is: 4,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.34 : 14,235.73 = 2,827.71 : x
  2. Step 2: Convert to fraction form
    9,491.34/14,235.73 = 2,827.71/x
  3. Step 3: Cross multiply
    9,491.34x = 14,235.73 × 2,827.71
  4. Step 4: Simplify right side
    9,491.34x = 40,254,516.08
  5. Step 5: Solve for x
    x = 40,254,516.08/9,491.34
  6. Step 6: Final answer
    x = 4,241.18

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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.