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Finding the Fourth Proportional to 9,613.66, 14,420.41 and 3,039.85

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Solution

The fourth proportional to 9,613.66, 14,420.41 and 3,039.85 is: 4,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.66 : 14,420.41 = 3,039.85 : x
  2. Step 2: Convert to fraction form
    9,613.66/14,420.41 = 3,039.85/x
  3. Step 3: Cross multiply
    9,613.66x = 14,420.41 × 3,039.85
  4. Step 4: Simplify right side
    9,613.66x = 43,835,868.14
  5. Step 5: Solve for x
    x = 43,835,868.14/9,613.66
  6. Step 6: Final answer
    x = 4,559.75

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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.