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Finding the Fourth Proportional to 9,422.76, 14,126.80 and 4,225

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Solution

The fourth proportional to 9,422.76, 14,126.80 and 4,225 is: 6,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.76 : 14,126.80 = 4,225 : x
  2. Step 2: Convert to fraction form
    9,422.76/14,126.80 = 4,225/x
  3. Step 3: Cross multiply
    9,422.76x = 14,126.80 × 4,225
  4. Step 4: Simplify right side
    9,422.76x = 59,685,730
  5. Step 5: Solve for x
    x = 59,685,730/9,422.76
  6. Step 6: Final answer
    x = 6,334.21

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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.