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Finding the Fourth Proportional to 9,630.63, 14,435.82 and 4,693.41

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Solution

The fourth proportional to 9,630.63, 14,435.82 and 4,693.41 is: 7,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.63 : 14,435.82 = 4,693.41 : x
  2. Step 2: Convert to fraction form
    9,630.63/14,435.82 = 4,693.41/x
  3. Step 3: Cross multiply
    9,630.63x = 14,435.82 × 4,693.41
  4. Step 4: Simplify right side
    9,630.63x = 67,753,221.95
  5. Step 5: Solve for x
    x = 67,753,221.95/9,630.63
  6. Step 6: Final answer
    x = 7,035.18

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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.