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Finding the Fourth Proportional to 7,309.85, 10,081.89 and 6,714.18

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Solution

The fourth proportional to 7,309.85, 10,081.89 and 6,714.18 is: 9,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.85 : 10,081.89 = 6,714.18 : x
  2. Step 2: Convert to fraction form
    7,309.85/10,081.89 = 6,714.18/x
  3. Step 3: Cross multiply
    7,309.85x = 10,081.89 × 6,714.18
  4. Step 4: Simplify right side
    7,309.85x = 67,691,624.20
  5. Step 5: Solve for x
    x = 67,691,624.20/7,309.85
  6. Step 6: Final answer
    x = 9,260.34

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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.