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Finding the Fourth Proportional to 6,523.86, 9,002.77 and 3,539.62

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Solution

The fourth proportional to 6,523.86, 9,002.77 and 3,539.62 is: 4,884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.86 : 9,002.77 = 3,539.62 : x
  2. Step 2: Convert to fraction form
    6,523.86/9,002.77 = 3,539.62/x
  3. Step 3: Cross multiply
    6,523.86x = 9,002.77 × 3,539.62
  4. Step 4: Simplify right side
    6,523.86x = 31,866,384.75
  5. Step 5: Solve for x
    x = 31,866,384.75/6,523.86
  6. Step 6: Final answer
    x = 4,884.59

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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.