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Finding the Fourth Proportional to 9,756.53, 13,463.89 and 5,449.69

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Solution

The fourth proportional to 9,756.53, 13,463.89 and 5,449.69 is: 7,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.53 : 13,463.89 = 5,449.69 : x
  2. Step 2: Convert to fraction form
    9,756.53/13,463.89 = 5,449.69/x
  3. Step 3: Cross multiply
    9,756.53x = 13,463.89 × 5,449.69
  4. Step 4: Simplify right side
    9,756.53x = 73,374,029.90
  5. Step 5: Solve for x
    x = 73,374,029.90/9,756.53
  6. Step 6: Final answer
    x = 7,520.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.