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Finding the Fourth Proportional to 7,209.67, 10,742.83 and 6,423.63

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Solution

The fourth proportional to 7,209.67, 10,742.83 and 6,423.63 is: 9,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.67 : 10,742.83 = 6,423.63 : x
  2. Step 2: Convert to fraction form
    7,209.67/10,742.83 = 6,423.63/x
  3. Step 3: Cross multiply
    7,209.67x = 10,742.83 × 6,423.63
  4. Step 4: Simplify right side
    7,209.67x = 69,007,879.24
  5. Step 5: Solve for x
    x = 69,007,879.24/7,209.67
  6. Step 6: Final answer
    x = 9,571.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.