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Finding the Fourth Proportional to 9,414.86, 12,992.56 and 5,435.96

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Solution

The fourth proportional to 9,414.86, 12,992.56 and 5,435.96 is: 7,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.86 : 12,992.56 = 5,435.96 : x
  2. Step 2: Convert to fraction form
    9,414.86/12,992.56 = 5,435.96/x
  3. Step 3: Cross multiply
    9,414.86x = 12,992.56 × 5,435.96
  4. Step 4: Simplify right side
    9,414.86x = 70,626,957.90
  5. Step 5: Solve for x
    x = 70,626,957.90/9,414.86
  6. Step 6: Final answer
    x = 7,501.65

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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.