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Finding the Fourth Proportional to 6,698.34, 9,243.30 and 3,714.06

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Solution

The fourth proportional to 6,698.34, 9,243.30 and 3,714.06 is: 5,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.34 : 9,243.30 = 3,714.06 : x
  2. Step 2: Convert to fraction form
    6,698.34/9,243.30 = 3,714.06/x
  3. Step 3: Cross multiply
    6,698.34x = 9,243.30 × 3,714.06
  4. Step 4: Simplify right side
    6,698.34x = 34,330,170.80
  5. Step 5: Solve for x
    x = 34,330,170.80/6,698.34
  6. Step 6: Final answer
    x = 5,125.18

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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.