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Finding the Fourth Proportional to 6,748.80, 9,309.60 and 3,953.76

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Solution

The fourth proportional to 6,748.80, 9,309.60 and 3,953.76 is: 5,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.80 : 9,309.60 = 3,953.76 : x
  2. Step 2: Convert to fraction form
    6,748.80/9,309.60 = 3,953.76/x
  3. Step 3: Cross multiply
    6,748.80x = 9,309.60 × 3,953.76
  4. Step 4: Simplify right side
    6,748.80x = 36,807,924.10
  5. Step 5: Solve for x
    x = 36,807,924.10/6,748.80
  6. Step 6: Final answer
    x = 5,454.00

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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.