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Finding the Fourth Proportional to 6,103.64, 9,145.01 and 3,332.26

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Solution

The fourth proportional to 6,103.64, 9,145.01 and 3,332.26 is: 4,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.64 : 9,145.01 = 3,332.26 : x
  2. Step 2: Convert to fraction form
    6,103.64/9,145.01 = 3,332.26/x
  3. Step 3: Cross multiply
    6,103.64x = 9,145.01 × 3,332.26
  4. Step 4: Simplify right side
    6,103.64x = 30,473,551.02
  5. Step 5: Solve for x
    x = 30,473,551.02/6,103.64
  6. Step 6: Final answer
    x = 4,992.68

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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.