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Finding the Fourth Proportional to 9,415.44, 14,123.22 and 2,841.60

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Solution

The fourth proportional to 9,415.44, 14,123.22 and 2,841.60 is: 4,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.44 : 14,123.22 = 2,841.60 : x
  2. Step 2: Convert to fraction form
    9,415.44/14,123.22 = 2,841.60/x
  3. Step 3: Cross multiply
    9,415.44x = 14,123.22 × 2,841.60
  4. Step 4: Simplify right side
    9,415.44x = 40,132,541.95
  5. Step 5: Solve for x
    x = 40,132,541.95/9,415.44
  6. Step 6: Final answer
    x = 4,262.42

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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.