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Finding the Fourth Proportional to 6,417.05, 9,608.20 and 3,332.57

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Solution

The fourth proportional to 6,417.05, 9,608.20 and 3,332.57 is: 4,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.05 : 9,608.20 = 3,332.57 : x
  2. Step 2: Convert to fraction form
    6,417.05/9,608.20 = 3,332.57/x
  3. Step 3: Cross multiply
    6,417.05x = 9,608.20 × 3,332.57
  4. Step 4: Simplify right side
    6,417.05x = 32,019,999.07
  5. Step 5: Solve for x
    x = 32,019,999.07/6,417.05
  6. Step 6: Final answer
    x = 4,989.83

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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.