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Finding the Fourth Proportional to 9,620.70, 14,432.40 and 3,046.20

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Solution

The fourth proportional to 9,620.70, 14,432.40 and 3,046.20 is: 4,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.70 : 14,432.40 = 3,046.20 : x
  2. Step 2: Convert to fraction form
    9,620.70/14,432.40 = 3,046.20/x
  3. Step 3: Cross multiply
    9,620.70x = 14,432.40 × 3,046.20
  4. Step 4: Simplify right side
    9,620.70x = 43,963,976.88
  5. Step 5: Solve for x
    x = 43,963,976.88/9,620.70
  6. Step 6: Final answer
    x = 4,569.73

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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.