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Finding the Fourth Proportional to 6,549.22, 9,035.40 and 4,660.21

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Solution

The fourth proportional to 6,549.22, 9,035.40 and 4,660.21 is: 6,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.22 : 9,035.40 = 4,660.21 : x
  2. Step 2: Convert to fraction form
    6,549.22/9,035.40 = 4,660.21/x
  3. Step 3: Cross multiply
    6,549.22x = 9,035.40 × 4,660.21
  4. Step 4: Simplify right side
    6,549.22x = 42,106,861.43
  5. Step 5: Solve for x
    x = 42,106,861.43/6,549.22
  6. Step 6: Final answer
    x = 6,429.29

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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.