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Finding the Fourth Proportional to 6,535.44, 9,015.56 and 3,844.76

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Solution

The fourth proportional to 6,535.44, 9,015.56 and 3,844.76 is: 5,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.44 : 9,015.56 = 3,844.76 : x
  2. Step 2: Convert to fraction form
    6,535.44/9,015.56 = 3,844.76/x
  3. Step 3: Cross multiply
    6,535.44x = 9,015.56 × 3,844.76
  4. Step 4: Simplify right side
    6,535.44x = 34,662,664.47
  5. Step 5: Solve for x
    x = 34,662,664.47/6,535.44
  6. Step 6: Final answer
    x = 5,303.80

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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.