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Finding the Fourth Proportional to 6,439.40, 9,648.30 and 3,145.40

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Solution

The fourth proportional to 6,439.40, 9,648.30 and 3,145.40 is: 4,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.40 : 9,648.30 = 3,145.40 : x
  2. Step 2: Convert to fraction form
    6,439.40/9,648.30 = 3,145.40/x
  3. Step 3: Cross multiply
    6,439.40x = 9,648.30 × 3,145.40
  4. Step 4: Simplify right side
    6,439.40x = 30,347,762.82
  5. Step 5: Solve for x
    x = 30,347,762.82/6,439.40
  6. Step 6: Final answer
    x = 4,712.82

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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.