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Finding the Fourth Proportional to 9,185, 13,777.56 and 3,029

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Solution

The fourth proportional to 9,185, 13,777.56 and 3,029 is: 4,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185 : 13,777.56 = 3,029 : x
  2. Step 2: Convert to fraction form
    9,185/13,777.56 = 3,029/x
  3. Step 3: Cross multiply
    9,185x = 13,777.56 × 3,029
  4. Step 4: Simplify right side
    9,185x = 41,732,229.24
  5. Step 5: Solve for x
    x = 41,732,229.24/9,185
  6. Step 6: Final answer
    x = 4,543.52

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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.