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Finding the Fourth Proportional to 9,744.10, 14,613.31 and 3,503.05

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Solution

The fourth proportional to 9,744.10, 14,613.31 and 3,503.05 is: 5,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.10 : 14,613.31 = 3,503.05 : x
  2. Step 2: Convert to fraction form
    9,744.10/14,613.31 = 3,503.05/x
  3. Step 3: Cross multiply
    9,744.10x = 14,613.31 × 3,503.05
  4. Step 4: Simplify right side
    9,744.10x = 51,191,155.60
  5. Step 5: Solve for x
    x = 51,191,155.60/9,744.10
  6. Step 6: Final answer
    x = 5,253.55

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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.