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Finding the Fourth Proportional to 9,414.67, 12,990.77 and 5,435.04

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Solution

The fourth proportional to 9,414.67, 12,990.77 and 5,435.04 is: 7,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.67 : 12,990.77 = 5,435.04 : x
  2. Step 2: Convert to fraction form
    9,414.67/12,990.77 = 5,435.04/x
  3. Step 3: Cross multiply
    9,414.67x = 12,990.77 × 5,435.04
  4. Step 4: Simplify right side
    9,414.67x = 70,605,354.58
  5. Step 5: Solve for x
    x = 70,605,354.58/9,414.67
  6. Step 6: Final answer
    x = 7,499.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.