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Finding the Fourth Proportional to 6,101.96, 9,152.82 and 1,718.96

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Solution

The fourth proportional to 6,101.96, 9,152.82 and 1,718.96 is: 2,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.96 : 9,152.82 = 1,718.96 : x
  2. Step 2: Convert to fraction form
    6,101.96/9,152.82 = 1,718.96/x
  3. Step 3: Cross multiply
    6,101.96x = 9,152.82 × 1,718.96
  4. Step 4: Simplify right side
    6,101.96x = 15,733,331.47
  5. Step 5: Solve for x
    x = 15,733,331.47/6,101.96
  6. Step 6: Final answer
    x = 2,578.41

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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.