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Finding the Fourth Proportional to 6,674.34, 10,009.33 and 3,714.20

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Solution

The fourth proportional to 6,674.34, 10,009.33 and 3,714.20 is: 5,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.34 : 10,009.33 = 3,714.20 : x
  2. Step 2: Convert to fraction form
    6,674.34/10,009.33 = 3,714.20/x
  3. Step 3: Cross multiply
    6,674.34x = 10,009.33 × 3,714.20
  4. Step 4: Simplify right side
    6,674.34x = 37,176,653.49
  5. Step 5: Solve for x
    x = 37,176,653.49/6,674.34
  6. Step 6: Final answer
    x = 5,570.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.