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Finding the Fourth Proportional to 6,229.11, 9,342.68 and 1,725.11

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Solution

The fourth proportional to 6,229.11, 9,342.68 and 1,725.11 is: 2,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.11 : 9,342.68 = 1,725.11 : x
  2. Step 2: Convert to fraction form
    6,229.11/9,342.68 = 1,725.11/x
  3. Step 3: Cross multiply
    6,229.11x = 9,342.68 × 1,725.11
  4. Step 4: Simplify right side
    6,229.11x = 16,117,095.36
  5. Step 5: Solve for x
    x = 16,117,095.36/6,229.11
  6. Step 6: Final answer
    x = 2,587.38

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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.