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Finding the Fourth Proportional to 9,574.53, 14,361.87 and 3,339

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Solution

The fourth proportional to 9,574.53, 14,361.87 and 3,339 is: 5,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.53 : 14,361.87 = 3,339 : x
  2. Step 2: Convert to fraction form
    9,574.53/14,361.87 = 3,339/x
  3. Step 3: Cross multiply
    9,574.53x = 14,361.87 × 3,339
  4. Step 4: Simplify right side
    9,574.53x = 47,954,283.93
  5. Step 5: Solve for x
    x = 47,954,283.93/9,574.53
  6. Step 6: Final answer
    x = 5,008.53

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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.