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Finding the Fourth Proportional to 9,340.74, 14,012.46 and 3,418.20

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Solution

The fourth proportional to 9,340.74, 14,012.46 and 3,418.20 is: 5,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.74 : 14,012.46 = 3,418.20 : x
  2. Step 2: Convert to fraction form
    9,340.74/14,012.46 = 3,418.20/x
  3. Step 3: Cross multiply
    9,340.74x = 14,012.46 × 3,418.20
  4. Step 4: Simplify right side
    9,340.74x = 47,897,390.77
  5. Step 5: Solve for x
    x = 47,897,390.77/9,340.74
  6. Step 6: Final answer
    x = 5,127.79

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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.