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Finding the Fourth Proportional to 6,442.34, 9,660.20 and 3,810.65

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Solution

The fourth proportional to 6,442.34, 9,660.20 and 3,810.65 is: 5,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.34 : 9,660.20 = 3,810.65 : x
  2. Step 2: Convert to fraction form
    6,442.34/9,660.20 = 3,810.65/x
  3. Step 3: Cross multiply
    6,442.34x = 9,660.20 × 3,810.65
  4. Step 4: Simplify right side
    6,442.34x = 36,811,573.78
  5. Step 5: Solve for x
    x = 36,811,573.78/6,442.34
  6. Step 6: Final answer
    x = 5,714.01

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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.