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Finding the Fourth Proportional to 6,431.94, 9,595.94 and 5,496.66

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Solution

The fourth proportional to 6,431.94, 9,595.94 and 5,496.66 is: 8,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.94 : 9,595.94 = 5,496.66 : x
  2. Step 2: Convert to fraction form
    6,431.94/9,595.94 = 5,496.66/x
  3. Step 3: Cross multiply
    6,431.94x = 9,595.94 × 5,496.66
  4. Step 4: Simplify right side
    6,431.94x = 52,745,592.08
  5. Step 5: Solve for x
    x = 52,745,592.08/6,431.94
  6. Step 6: Final answer
    x = 8,200.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.