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Finding the Fourth Proportional to 9,158.50, 13,737.77 and 2,233.00

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Solution

The fourth proportional to 9,158.50, 13,737.77 and 2,233.00 is: 3,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.50 : 13,737.77 = 2,233.00 : x
  2. Step 2: Convert to fraction form
    9,158.50/13,737.77 = 2,233.00/x
  3. Step 3: Cross multiply
    9,158.50x = 13,737.77 × 2,233.00
  4. Step 4: Simplify right side
    9,158.50x = 30,676,454.79
  5. Step 5: Solve for x
    x = 30,676,454.79/9,158.50
  6. Step 6: Final answer
    x = 3,349.51

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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.