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Finding the Fourth Proportional to 9,466.50, 14,201.43 and 3,916.83

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Solution

The fourth proportional to 9,466.50, 14,201.43 and 3,916.83 is: 5,875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.50 : 14,201.43 = 3,916.83 : x
  2. Step 2: Convert to fraction form
    9,466.50/14,201.43 = 3,916.83/x
  3. Step 3: Cross multiply
    9,466.50x = 14,201.43 × 3,916.83
  4. Step 4: Simplify right side
    9,466.50x = 55,624,587.07
  5. Step 5: Solve for x
    x = 55,624,587.07/9,466.50
  6. Step 6: Final answer
    x = 5,875.94

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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.