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Finding the Fourth Proportional to 6,410.44, 9,609.84 and 2,248.16

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Solution

The fourth proportional to 6,410.44, 9,609.84 and 2,248.16 is: 3,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.44 : 9,609.84 = 2,248.16 : x
  2. Step 2: Convert to fraction form
    6,410.44/9,609.84 = 2,248.16/x
  3. Step 3: Cross multiply
    6,410.44x = 9,609.84 × 2,248.16
  4. Step 4: Simplify right side
    6,410.44x = 21,604,457.89
  5. Step 5: Solve for x
    x = 21,604,457.89/6,410.44
  6. Step 6: Final answer
    x = 3,370.20

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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.