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Finding the Fourth Proportional to 6,467.84, 9,703.68 and 3,009.28

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Solution

The fourth proportional to 6,467.84, 9,703.68 and 3,009.28 is: 4,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.84 : 9,703.68 = 3,009.28 : x
  2. Step 2: Convert to fraction form
    6,467.84/9,703.68 = 3,009.28/x
  3. Step 3: Cross multiply
    6,467.84x = 9,703.68 × 3,009.28
  4. Step 4: Simplify right side
    6,467.84x = 29,201,090.15
  5. Step 5: Solve for x
    x = 29,201,090.15/6,467.84
  6. Step 6: Final answer
    x = 4,514.81

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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.