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Finding the Fourth Proportional to 6,301.37, 9,446.90 and 3,490.11

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Solution

The fourth proportional to 6,301.37, 9,446.90 and 3,490.11 is: 5,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.37 : 9,446.90 = 3,490.11 : x
  2. Step 2: Convert to fraction form
    6,301.37/9,446.90 = 3,490.11/x
  3. Step 3: Cross multiply
    6,301.37x = 9,446.90 × 3,490.11
  4. Step 4: Simplify right side
    6,301.37x = 32,970,702.71
  5. Step 5: Solve for x
    x = 32,970,702.71/6,301.37
  6. Step 6: Final answer
    x = 5,232.31

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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.