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Finding the Fourth Proportional to 6,299.72, 8,693.64 and 3,467.00

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Solution

The fourth proportional to 6,299.72, 8,693.64 and 3,467.00 is: 4,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.72 : 8,693.64 = 3,467.00 : x
  2. Step 2: Convert to fraction form
    6,299.72/8,693.64 = 3,467.00/x
  3. Step 3: Cross multiply
    6,299.72x = 8,693.64 × 3,467.00
  4. Step 4: Simplify right side
    6,299.72x = 30,140,871.61
  5. Step 5: Solve for x
    x = 30,140,871.61/6,299.72
  6. Step 6: Final answer
    x = 4,784.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.