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Finding the Fourth Proportional to 9,158.49, 13,737.69 and 2,232.99

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Solution

The fourth proportional to 9,158.49, 13,737.69 and 2,232.99 is: 3,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.49 : 13,737.69 = 2,232.99 : x
  2. Step 2: Convert to fraction form
    9,158.49/13,737.69 = 2,232.99/x
  3. Step 3: Cross multiply
    9,158.49x = 13,737.69 × 2,232.99
  4. Step 4: Simplify right side
    9,158.49x = 30,676,124.39
  5. Step 5: Solve for x
    x = 30,676,124.39/9,158.49
  6. Step 6: Final answer
    x = 3,349.47

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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.