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Finding the Fourth Proportional to 9,422.57, 14,130.23 and 3,180.92

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Solution

The fourth proportional to 9,422.57, 14,130.23 and 3,180.92 is: 4,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.57 : 14,130.23 = 3,180.92 : x
  2. Step 2: Convert to fraction form
    9,422.57/14,130.23 = 3,180.92/x
  3. Step 3: Cross multiply
    9,422.57x = 14,130.23 × 3,180.92
  4. Step 4: Simplify right side
    9,422.57x = 44,947,044.66
  5. Step 5: Solve for x
    x = 44,947,044.66/9,422.57
  6. Step 6: Final answer
    x = 4,770.15

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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.