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Finding the Fourth Proportional to 6,085.96, 9,130.46 and 3,311.88

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Solution

The fourth proportional to 6,085.96, 9,130.46 and 3,311.88 is: 4,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.96 : 9,130.46 = 3,311.88 : x
  2. Step 2: Convert to fraction form
    6,085.96/9,130.46 = 3,311.88/x
  3. Step 3: Cross multiply
    6,085.96x = 9,130.46 × 3,311.88
  4. Step 4: Simplify right side
    6,085.96x = 30,238,987.86
  5. Step 5: Solve for x
    x = 30,238,987.86/6,085.96
  6. Step 6: Final answer
    x = 4,968.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.