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Finding the Fourth Proportional to 9,613.31, 14,419.87 and 3,039.49

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Solution

The fourth proportional to 9,613.31, 14,419.87 and 3,039.49 is: 4,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.31 : 14,419.87 = 3,039.49 : x
  2. Step 2: Convert to fraction form
    9,613.31/14,419.87 = 3,039.49/x
  3. Step 3: Cross multiply
    9,613.31x = 14,419.87 × 3,039.49
  4. Step 4: Simplify right side
    9,613.31x = 43,829,035.47
  5. Step 5: Solve for x
    x = 43,829,035.47/9,613.31
  6. Step 6: Final answer
    x = 4,559.21

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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.