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Finding the Fourth Proportional to 6,485.13, 9,731.34 and 4,145.04

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Solution

The fourth proportional to 6,485.13, 9,731.34 and 4,145.04 is: 6,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.13 : 9,731.34 = 4,145.04 : x
  2. Step 2: Convert to fraction form
    6,485.13/9,731.34 = 4,145.04/x
  3. Step 3: Cross multiply
    6,485.13x = 9,731.34 × 4,145.04
  4. Step 4: Simplify right side
    6,485.13x = 40,336,793.55
  5. Step 5: Solve for x
    x = 40,336,793.55/6,485.13
  6. Step 6: Final answer
    x = 6,219.89

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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.