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Finding the Fourth Proportional to 9,704.87, 14,559.48 and 3,465.53

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Solution

The fourth proportional to 9,704.87, 14,559.48 and 3,465.53 is: 5,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.87 : 14,559.48 = 3,465.53 : x
  2. Step 2: Convert to fraction form
    9,704.87/14,559.48 = 3,465.53/x
  3. Step 3: Cross multiply
    9,704.87x = 14,559.48 × 3,465.53
  4. Step 4: Simplify right side
    9,704.87x = 50,456,241.93
  5. Step 5: Solve for x
    x = 50,456,241.93/9,704.87
  6. Step 6: Final answer
    x = 5,199.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.