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Finding the Fourth Proportional to 6,468.90, 9,712.35 and 4,143.30

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Solution

The fourth proportional to 6,468.90, 9,712.35 and 4,143.30 is: 6,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.90 : 9,712.35 = 4,143.30 : x
  2. Step 2: Convert to fraction form
    6,468.90/9,712.35 = 4,143.30/x
  3. Step 3: Cross multiply
    6,468.90x = 9,712.35 × 4,143.30
  4. Step 4: Simplify right side
    6,468.90x = 40,241,179.76
  5. Step 5: Solve for x
    x = 40,241,179.76/6,468.90
  6. Step 6: Final answer
    x = 6,220.71

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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.