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Finding the Fourth Proportional to 6,858.75, 9,465.09 and 3,714.96

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Solution

The fourth proportional to 6,858.75, 9,465.09 and 3,714.96 is: 5,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.75 : 9,465.09 = 3,714.96 : x
  2. Step 2: Convert to fraction form
    6,858.75/9,465.09 = 3,714.96/x
  3. Step 3: Cross multiply
    6,858.75x = 9,465.09 × 3,714.96
  4. Step 4: Simplify right side
    6,858.75x = 35,162,430.75
  5. Step 5: Solve for x
    x = 35,162,430.75/6,858.75
  6. Step 6: Final answer
    x = 5,126.65

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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.