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Finding the Fourth Proportional to 9,645.60, 14,470.42 and 3,072.26

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Solution

The fourth proportional to 9,645.60, 14,470.42 and 3,072.26 is: 4,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.60 : 14,470.42 = 3,072.26 : x
  2. Step 2: Convert to fraction form
    9,645.60/14,470.42 = 3,072.26/x
  3. Step 3: Cross multiply
    9,645.60x = 14,470.42 × 3,072.26
  4. Step 4: Simplify right side
    9,645.60x = 44,456,892.55
  5. Step 5: Solve for x
    x = 44,456,892.55/9,645.60
  6. Step 6: Final answer
    x = 4,609.03

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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.