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Finding the Fourth Proportional to 6,500.16, 9,756 and 3,382.38

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Solution

The fourth proportional to 6,500.16, 9,756 and 3,382.38 is: 5,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.16 : 9,756 = 3,382.38 : x
  2. Step 2: Convert to fraction form
    6,500.16/9,756 = 3,382.38/x
  3. Step 3: Cross multiply
    6,500.16x = 9,756 × 3,382.38
  4. Step 4: Simplify right side
    6,500.16x = 32,998,499.28
  5. Step 5: Solve for x
    x = 32,998,499.28/6,500.16
  6. Step 6: Final answer
    x = 5,076.57

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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.