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Finding the Fourth Proportional to 6,544.95, 9,825.44 and 4,325.70

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Solution

The fourth proportional to 6,544.95, 9,825.44 and 4,325.70 is: 6,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.95 : 9,825.44 = 4,325.70 : x
  2. Step 2: Convert to fraction form
    6,544.95/9,825.44 = 4,325.70/x
  3. Step 3: Cross multiply
    6,544.95x = 9,825.44 × 4,325.70
  4. Step 4: Simplify right side
    6,544.95x = 42,501,884.18
  5. Step 5: Solve for x
    x = 42,501,884.18/6,544.95
  6. Step 6: Final answer
    x = 6,493.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.