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Finding the Fourth Proportional to 6,458.01, 9,685.40 and 3,334.25

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Solution

The fourth proportional to 6,458.01, 9,685.40 and 3,334.25 is: 5,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.01 : 9,685.40 = 3,334.25 : x
  2. Step 2: Convert to fraction form
    6,458.01/9,685.40 = 3,334.25/x
  3. Step 3: Cross multiply
    6,458.01x = 9,685.40 × 3,334.25
  4. Step 4: Simplify right side
    6,458.01x = 32,293,479.85
  5. Step 5: Solve for x
    x = 32,293,479.85/6,458.01
  6. Step 6: Final answer
    x = 5,000.53

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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.