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Finding the Fourth Proportional to 6,829.86, 9,420.49 and 4,178.59

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Solution

The fourth proportional to 6,829.86, 9,420.49 and 4,178.59 is: 5,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.86 : 9,420.49 = 4,178.59 : x
  2. Step 2: Convert to fraction form
    6,829.86/9,420.49 = 4,178.59/x
  3. Step 3: Cross multiply
    6,829.86x = 9,420.49 × 4,178.59
  4. Step 4: Simplify right side
    6,829.86x = 39,364,346.98
  5. Step 5: Solve for x
    x = 39,364,346.98/6,829.86
  6. Step 6: Final answer
    x = 5,763.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.