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Finding the Fourth Proportional to 6,544.73, 9,031.80 and 3,560.57

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Solution

The fourth proportional to 6,544.73, 9,031.80 and 3,560.57 is: 4,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.73 : 9,031.80 = 3,560.57 : x
  2. Step 2: Convert to fraction form
    6,544.73/9,031.80 = 3,560.57/x
  3. Step 3: Cross multiply
    6,544.73x = 9,031.80 × 3,560.57
  4. Step 4: Simplify right side
    6,544.73x = 32,158,338.32
  5. Step 5: Solve for x
    x = 32,158,338.32/6,544.73
  6. Step 6: Final answer
    x = 4,913.63

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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.