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Finding the Fourth Proportional to 6,457.30, 9,676.71 and 3,678.24

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Solution

The fourth proportional to 6,457.30, 9,676.71 and 3,678.24 is: 5,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.30 : 9,676.71 = 3,678.24 : x
  2. Step 2: Convert to fraction form
    6,457.30/9,676.71 = 3,678.24/x
  3. Step 3: Cross multiply
    6,457.30x = 9,676.71 × 3,678.24
  4. Step 4: Simplify right side
    6,457.30x = 35,593,261.79
  5. Step 5: Solve for x
    x = 35,593,261.79/6,457.30
  6. Step 6: Final answer
    x = 5,512.10

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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.