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Finding the Fourth Proportional to 6,698.27, 9,243.57 and 3,714.11

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Solution

The fourth proportional to 6,698.27, 9,243.57 and 3,714.11 is: 5,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.27 : 9,243.57 = 3,714.11 : x
  2. Step 2: Convert to fraction form
    6,698.27/9,243.57 = 3,714.11/x
  3. Step 3: Cross multiply
    6,698.27x = 9,243.57 × 3,714.11
  4. Step 4: Simplify right side
    6,698.27x = 34,331,635.77
  5. Step 5: Solve for x
    x = 34,331,635.77/6,698.27
  6. Step 6: Final answer
    x = 5,125.45

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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.