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Finding the Fourth Proportional to 6,529.44, 9,009.36 and 3,877.68

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Solution

The fourth proportional to 6,529.44, 9,009.36 and 3,877.68 is: 5,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.44 : 9,009.36 = 3,877.68 : x
  2. Step 2: Convert to fraction form
    6,529.44/9,009.36 = 3,877.68/x
  3. Step 3: Cross multiply
    6,529.44x = 9,009.36 × 3,877.68
  4. Step 4: Simplify right side
    6,529.44x = 34,935,415.08
  5. Step 5: Solve for x
    x = 34,935,415.08/6,529.44
  6. Step 6: Final answer
    x = 5,350.45

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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.