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Finding the Fourth Proportional to 6,723.69, 9,274.84 and 5,582.90

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Solution

The fourth proportional to 6,723.69, 9,274.84 and 5,582.90 is: 7,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.69 : 9,274.84 = 5,582.90 : x
  2. Step 2: Convert to fraction form
    6,723.69/9,274.84 = 5,582.90/x
  3. Step 3: Cross multiply
    6,723.69x = 9,274.84 × 5,582.90
  4. Step 4: Simplify right side
    6,723.69x = 51,780,513.47
  5. Step 5: Solve for x
    x = 51,780,513.47/6,723.69
  6. Step 6: Final answer
    x = 7,701.21

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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.