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Finding the Fourth Proportional to 9,461.85, 14,171.22 and 4,535.04

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Solution

The fourth proportional to 9,461.85, 14,171.22 and 4,535.04 is: 6,792.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.85 : 14,171.22 = 4,535.04 : x
  2. Step 2: Convert to fraction form
    9,461.85/14,171.22 = 4,535.04/x
  3. Step 3: Cross multiply
    9,461.85x = 14,171.22 × 4,535.04
  4. Step 4: Simplify right side
    9,461.85x = 64,267,049.55
  5. Step 5: Solve for x
    x = 64,267,049.55/9,461.85
  6. Step 6: Final answer
    x = 6,792.23

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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.