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Finding the Fourth Proportional to 6,523.17, 9,002.03 and 3,539.13

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Solution

The fourth proportional to 6,523.17, 9,002.03 and 3,539.13 is: 4,884.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.17 : 9,002.03 = 3,539.13 : x
  2. Step 2: Convert to fraction form
    6,523.17/9,002.03 = 3,539.13/x
  3. Step 3: Cross multiply
    6,523.17x = 9,002.03 × 3,539.13
  4. Step 4: Simplify right side
    6,523.17x = 31,859,354.43
  5. Step 5: Solve for x
    x = 31,859,354.43/6,523.17
  6. Step 6: Final answer
    x = 4,884.03

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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.