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Finding the Fourth Proportional to 6,698.76, 9,244 and 3,714.64

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Solution

The fourth proportional to 6,698.76, 9,244 and 3,714.64 is: 5,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.76 : 9,244 = 3,714.64 : x
  2. Step 2: Convert to fraction form
    6,698.76/9,244 = 3,714.64/x
  3. Step 3: Cross multiply
    6,698.76x = 9,244 × 3,714.64
  4. Step 4: Simplify right side
    6,698.76x = 34,338,132.16
  5. Step 5: Solve for x
    x = 34,338,132.16/6,698.76
  6. Step 6: Final answer
    x = 5,126.04

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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.