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Finding the Fourth Proportional to 6,402.15, 9,597.03 and 3,283.65

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Solution

The fourth proportional to 6,402.15, 9,597.03 and 3,283.65 is: 4,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.15 : 9,597.03 = 3,283.65 : x
  2. Step 2: Convert to fraction form
    6,402.15/9,597.03 = 3,283.65/x
  3. Step 3: Cross multiply
    6,402.15x = 9,597.03 × 3,283.65
  4. Step 4: Simplify right side
    6,402.15x = 31,513,287.56
  5. Step 5: Solve for x
    x = 31,513,287.56/6,402.15
  6. Step 6: Final answer
    x = 4,922.30

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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.