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Finding the Fourth Proportional to 6,755.36, 9,319.84 and 4,101.76

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Solution

The fourth proportional to 6,755.36, 9,319.84 and 4,101.76 is: 5,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.36 : 9,319.84 = 4,101.76 : x
  2. Step 2: Convert to fraction form
    6,755.36/9,319.84 = 4,101.76/x
  3. Step 3: Cross multiply
    6,755.36x = 9,319.84 × 4,101.76
  4. Step 4: Simplify right side
    6,755.36x = 38,227,746.92
  5. Step 5: Solve for x
    x = 38,227,746.92/6,755.36
  6. Step 6: Final answer
    x = 5,658.88

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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.