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Finding the Fourth Proportional to 9,421.50, 14,132.52 and 2,496

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Solution

The fourth proportional to 9,421.50, 14,132.52 and 2,496 is: 3,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.50 : 14,132.52 = 2,496 : x
  2. Step 2: Convert to fraction form
    9,421.50/14,132.52 = 2,496/x
  3. Step 3: Cross multiply
    9,421.50x = 14,132.52 × 2,496
  4. Step 4: Simplify right side
    9,421.50x = 35,274,769.92
  5. Step 5: Solve for x
    x = 35,274,769.92/9,421.50
  6. Step 6: Final answer
    x = 3,744.07

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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.