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Finding the Fourth Proportional to 9,463.84, 14,194.58 and 3,916.50

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Solution

The fourth proportional to 9,463.84, 14,194.58 and 3,916.50 is: 5,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.84 : 14,194.58 = 3,916.50 : x
  2. Step 2: Convert to fraction form
    9,463.84/14,194.58 = 3,916.50/x
  3. Step 3: Cross multiply
    9,463.84x = 14,194.58 × 3,916.50
  4. Step 4: Simplify right side
    9,463.84x = 55,593,072.57
  5. Step 5: Solve for x
    x = 55,593,072.57/9,463.84
  6. Step 6: Final answer
    x = 5,874.26

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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.