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Finding the Fourth Proportional to 6,456, 9,727.92 and 5,748.72

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Solution

The fourth proportional to 6,456, 9,727.92 and 5,748.72 is: 8,662.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456 : 9,727.92 = 5,748.72 : x
  2. Step 2: Convert to fraction form
    6,456/9,727.92 = 5,748.72/x
  3. Step 3: Cross multiply
    6,456x = 9,727.92 × 5,748.72
  4. Step 4: Simplify right side
    6,456x = 55,923,088.26
  5. Step 5: Solve for x
    x = 55,923,088.26/6,456
  6. Step 6: Final answer
    x = 8,662.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.