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Finding the Fourth Proportional to 9,406.53, 14,108.80 and 3,860.46

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Solution

The fourth proportional to 9,406.53, 14,108.80 and 3,860.46 is: 5,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.53 : 14,108.80 = 3,860.46 : x
  2. Step 2: Convert to fraction form
    9,406.53/14,108.80 = 3,860.46/x
  3. Step 3: Cross multiply
    9,406.53x = 14,108.80 × 3,860.46
  4. Step 4: Simplify right side
    9,406.53x = 54,466,377.85
  5. Step 5: Solve for x
    x = 54,466,377.85/9,406.53
  6. Step 6: Final answer
    x = 5,790.28

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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.