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Finding the Fourth Proportional to 6,714.29, 10,071.14 and 2,332.09

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Solution

The fourth proportional to 6,714.29, 10,071.14 and 2,332.09 is: 3,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.29 : 10,071.14 = 2,332.09 : x
  2. Step 2: Convert to fraction form
    6,714.29/10,071.14 = 2,332.09/x
  3. Step 3: Cross multiply
    6,714.29x = 10,071.14 × 2,332.09
  4. Step 4: Simplify right side
    6,714.29x = 23,486,805.81
  5. Step 5: Solve for x
    x = 23,486,805.81/6,714.29
  6. Step 6: Final answer
    x = 3,498.03

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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.