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Finding the Fourth Proportional to 9,002, 13,502.96 and 2,428.84

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Solution

The fourth proportional to 9,002, 13,502.96 and 2,428.84 is: 3,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002 : 13,502.96 = 2,428.84 : x
  2. Step 2: Convert to fraction form
    9,002/13,502.96 = 2,428.84/x
  3. Step 3: Cross multiply
    9,002x = 13,502.96 × 2,428.84
  4. Step 4: Simplify right side
    9,002x = 32,796,529.37
  5. Step 5: Solve for x
    x = 32,796,529.37/9,002
  6. Step 6: Final answer
    x = 3,643.25

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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.