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Finding the Fourth Proportional to 6,467.49, 9,686.66 and 5,301.09

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Solution

The fourth proportional to 6,467.49, 9,686.66 and 5,301.09 is: 7,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.49 : 9,686.66 = 5,301.09 : x
  2. Step 2: Convert to fraction form
    6,467.49/9,686.66 = 5,301.09/x
  3. Step 3: Cross multiply
    6,467.49x = 9,686.66 × 5,301.09
  4. Step 4: Simplify right side
    6,467.49x = 51,349,829.95
  5. Step 5: Solve for x
    x = 51,349,829.95/6,467.49
  6. Step 6: Final answer
    x = 7,939.68

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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.