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Finding the Fourth Proportional to 9,612.74, 14,419.23 and 3,039.50

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Solution

The fourth proportional to 9,612.74, 14,419.23 and 3,039.50 is: 4,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.74 : 14,419.23 = 3,039.50 : x
  2. Step 2: Convert to fraction form
    9,612.74/14,419.23 = 3,039.50/x
  3. Step 3: Cross multiply
    9,612.74x = 14,419.23 × 3,039.50
  4. Step 4: Simplify right side
    9,612.74x = 43,827,249.59
  5. Step 5: Solve for x
    x = 43,827,249.59/9,612.74
  6. Step 6: Final answer
    x = 4,559.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.