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Finding the Fourth Proportional to 9,744.59, 14,615.25 and 3,503.34

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Solution

The fourth proportional to 9,744.59, 14,615.25 and 3,503.34 is: 5,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.59 : 14,615.25 = 3,503.34 : x
  2. Step 2: Convert to fraction form
    9,744.59/14,615.25 = 3,503.34/x
  3. Step 3: Cross multiply
    9,744.59x = 14,615.25 × 3,503.34
  4. Step 4: Simplify right side
    9,744.59x = 51,202,189.94
  5. Step 5: Solve for x
    x = 51,202,189.94/9,744.59
  6. Step 6: Final answer
    x = 5,254.42

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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.