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Finding the Fourth Proportional to 6,864.86, 10,311.86 and 6,464.94

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Solution

The fourth proportional to 6,864.86, 10,311.86 and 6,464.94 is: 9,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.86 : 10,311.86 = 6,464.94 : x
  2. Step 2: Convert to fraction form
    6,864.86/10,311.86 = 6,464.94/x
  3. Step 3: Cross multiply
    6,864.86x = 10,311.86 × 6,464.94
  4. Step 4: Simplify right side
    6,864.86x = 66,665,526.32
  5. Step 5: Solve for x
    x = 66,665,526.32/6,864.86
  6. Step 6: Final answer
    x = 9,711.12

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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.