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Finding the Fourth Proportional to 9,954.52, 14,933.95 and 3,028.84

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Solution

The fourth proportional to 9,954.52, 14,933.95 and 3,028.84 is: 4,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.52 : 14,933.95 = 3,028.84 : x
  2. Step 2: Convert to fraction form
    9,954.52/14,933.95 = 3,028.84/x
  3. Step 3: Cross multiply
    9,954.52x = 14,933.95 × 3,028.84
  4. Step 4: Simplify right side
    9,954.52x = 45,232,545.12
  5. Step 5: Solve for x
    x = 45,232,545.12/9,954.52
  6. Step 6: Final answer
    x = 4,543.92

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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.