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Finding the Fourth Proportional to 9,620.63, 14,431.45 and 3,046.31

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Solution

The fourth proportional to 9,620.63, 14,431.45 and 3,046.31 is: 4,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.63 : 14,431.45 = 3,046.31 : x
  2. Step 2: Convert to fraction form
    9,620.63/14,431.45 = 3,046.31/x
  3. Step 3: Cross multiply
    9,620.63x = 14,431.45 × 3,046.31
  4. Step 4: Simplify right side
    9,620.63x = 43,962,731.68
  5. Step 5: Solve for x
    x = 43,962,731.68/9,620.63
  6. Step 6: Final answer
    x = 4,569.63

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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.