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Finding the Fourth Proportional to 6,601.96, 9,903.75 and 3,090.16

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Solution

The fourth proportional to 6,601.96, 9,903.75 and 3,090.16 is: 4,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.96 : 9,903.75 = 3,090.16 : x
  2. Step 2: Convert to fraction form
    6,601.96/9,903.75 = 3,090.16/x
  3. Step 3: Cross multiply
    6,601.96x = 9,903.75 × 3,090.16
  4. Step 4: Simplify right side
    6,601.96x = 30,604,172.10
  5. Step 5: Solve for x
    x = 30,604,172.10/6,601.96
  6. Step 6: Final answer
    x = 4,635.62

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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.