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Finding the Fourth Proportional to 9,422.76, 14,124.42 and 4,225.80

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Solution

The fourth proportional to 9,422.76, 14,124.42 and 4,225.80 is: 6,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.76 : 14,124.42 = 4,225.80 : x
  2. Step 2: Convert to fraction form
    9,422.76/14,124.42 = 4,225.80/x
  3. Step 3: Cross multiply
    9,422.76x = 14,124.42 × 4,225.80
  4. Step 4: Simplify right side
    9,422.76x = 59,686,974.04
  5. Step 5: Solve for x
    x = 59,686,974.04/9,422.76
  6. Step 6: Final answer
    x = 6,334.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.