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Finding the Fourth Proportional to 6,393.72, 8,827.74 and 4,899

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Solution

The fourth proportional to 6,393.72, 8,827.74 and 4,899 is: 6,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.72 : 8,827.74 = 4,899 : x
  2. Step 2: Convert to fraction form
    6,393.72/8,827.74 = 4,899/x
  3. Step 3: Cross multiply
    6,393.72x = 8,827.74 × 4,899
  4. Step 4: Simplify right side
    6,393.72x = 43,247,098.26
  5. Step 5: Solve for x
    x = 43,247,098.26/6,393.72
  6. Step 6: Final answer
    x = 6,764.00

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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.