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Finding the Fourth Proportional to 6,698.34, 9,243.82 and 3,714.30

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Solution

The fourth proportional to 6,698.34, 9,243.82 and 3,714.30 is: 5,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.34 : 9,243.82 = 3,714.30 : x
  2. Step 2: Convert to fraction form
    6,698.34/9,243.82 = 3,714.30/x
  3. Step 3: Cross multiply
    6,698.34x = 9,243.82 × 3,714.30
  4. Step 4: Simplify right side
    6,698.34x = 34,334,325.27
  5. Step 5: Solve for x
    x = 34,334,325.27/6,698.34
  6. Step 6: Final answer
    x = 5,125.80

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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.