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Finding the Fourth Proportional to 6,698.97, 9,244.65 and 3,714.86

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Solution

The fourth proportional to 6,698.97, 9,244.65 and 3,714.86 is: 5,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.97 : 9,244.65 = 3,714.86 : x
  2. Step 2: Convert to fraction form
    6,698.97/9,244.65 = 3,714.86/x
  3. Step 3: Cross multiply
    6,698.97x = 9,244.65 × 3,714.86
  4. Step 4: Simplify right side
    6,698.97x = 34,342,534.28
  5. Step 5: Solve for x
    x = 34,342,534.28/6,698.97
  6. Step 6: Final answer
    x = 5,126.54

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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.