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Finding the Fourth Proportional to 6,384.47, 9,562.86 and 3,090.66

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Solution

The fourth proportional to 6,384.47, 9,562.86 and 3,090.66 is: 4,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.47 : 9,562.86 = 3,090.66 : x
  2. Step 2: Convert to fraction form
    6,384.47/9,562.86 = 3,090.66/x
  3. Step 3: Cross multiply
    6,384.47x = 9,562.86 × 3,090.66
  4. Step 4: Simplify right side
    6,384.47x = 29,555,513.03
  5. Step 5: Solve for x
    x = 29,555,513.03/6,384.47
  6. Step 6: Final answer
    x = 4,629.28

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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.