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Finding the Fourth Proportional to 9,422.80, 14,130.92 and 4,741

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Solution

The fourth proportional to 9,422.80, 14,130.92 and 4,741 is: 7,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.80 : 14,130.92 = 4,741 : x
  2. Step 2: Convert to fraction form
    9,422.80/14,130.92 = 4,741/x
  3. Step 3: Cross multiply
    9,422.80x = 14,130.92 × 4,741
  4. Step 4: Simplify right side
    9,422.80x = 66,994,691.72
  5. Step 5: Solve for x
    x = 66,994,691.72/9,422.80
  6. Step 6: Final answer
    x = 7,109.85

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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.