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Finding the Fourth Proportional to 6,440.94, 9,655.20 and 4,103.82

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Solution

The fourth proportional to 6,440.94, 9,655.20 and 4,103.82 is: 6,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.94 : 9,655.20 = 4,103.82 : x
  2. Step 2: Convert to fraction form
    6,440.94/9,655.20 = 4,103.82/x
  3. Step 3: Cross multiply
    6,440.94x = 9,655.20 × 4,103.82
  4. Step 4: Simplify right side
    6,440.94x = 39,623,202.86
  5. Step 5: Solve for x
    x = 39,623,202.86/6,440.94
  6. Step 6: Final answer
    x = 6,151.77

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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.