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Finding the Fourth Proportional to 9,414.96, 14,123.52 and 2,841.54

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Solution

The fourth proportional to 9,414.96, 14,123.52 and 2,841.54 is: 4,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.96 : 14,123.52 = 2,841.54 : x
  2. Step 2: Convert to fraction form
    9,414.96/14,123.52 = 2,841.54/x
  3. Step 3: Cross multiply
    9,414.96x = 14,123.52 × 2,841.54
  4. Step 4: Simplify right side
    9,414.96x = 40,132,547.02
  5. Step 5: Solve for x
    x = 40,132,547.02/9,414.96
  6. Step 6: Final answer
    x = 4,262.64

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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.