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Finding the Fourth Proportional to 6,432.14, 9,630.46 and 3,305.40

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Solution

The fourth proportional to 6,432.14, 9,630.46 and 3,305.40 is: 4,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.14 : 9,630.46 = 3,305.40 : x
  2. Step 2: Convert to fraction form
    6,432.14/9,630.46 = 3,305.40/x
  3. Step 3: Cross multiply
    6,432.14x = 9,630.46 × 3,305.40
  4. Step 4: Simplify right side
    6,432.14x = 31,832,522.48
  5. Step 5: Solve for x
    x = 31,832,522.48/6,432.14
  6. Step 6: Final answer
    x = 4,948.98

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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.