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Finding the Fourth Proportional to 7,185.08, 9,913.46 and 4,201.64

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Solution

The fourth proportional to 7,185.08, 9,913.46 and 4,201.64 is: 5,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.08 : 9,913.46 = 4,201.64 : x
  2. Step 2: Convert to fraction form
    7,185.08/9,913.46 = 4,201.64/x
  3. Step 3: Cross multiply
    7,185.08x = 9,913.46 × 4,201.64
  4. Step 4: Simplify right side
    7,185.08x = 41,652,825.36
  5. Step 5: Solve for x
    x = 41,652,825.36/7,185.08
  6. Step 6: Final answer
    x = 5,797.13

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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.