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Finding the Fourth Proportional to 9,432.48, 14,148 and 2,412.48

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Solution

The fourth proportional to 9,432.48, 14,148 and 2,412.48 is: 3,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.48 : 14,148 = 2,412.48 : x
  2. Step 2: Convert to fraction form
    9,432.48/14,148 = 2,412.48/x
  3. Step 3: Cross multiply
    9,432.48x = 14,148 × 2,412.48
  4. Step 4: Simplify right side
    9,432.48x = 34,131,767.04
  5. Step 5: Solve for x
    x = 34,131,767.04/9,432.48
  6. Step 6: Final answer
    x = 3,618.54

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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.