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Finding the Fourth Proportional to 6,825.69, 9,423.41 and 4,732.65

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Solution

The fourth proportional to 6,825.69, 9,423.41 and 4,732.65 is: 6,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.69 : 9,423.41 = 4,732.65 : x
  2. Step 2: Convert to fraction form
    6,825.69/9,423.41 = 4,732.65/x
  3. Step 3: Cross multiply
    6,825.69x = 9,423.41 × 4,732.65
  4. Step 4: Simplify right side
    6,825.69x = 44,597,677.67
  5. Step 5: Solve for x
    x = 44,597,677.67/6,825.69
  6. Step 6: Final answer
    x = 6,533.80

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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.