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Finding the Fourth Proportional to 9,414.98, 12,992.15 and 5,435.85

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Solution

The fourth proportional to 9,414.98, 12,992.15 and 5,435.85 is: 7,501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.98 : 12,992.15 = 5,435.85 : x
  2. Step 2: Convert to fraction form
    9,414.98/12,992.15 = 5,435.85/x
  3. Step 3: Cross multiply
    9,414.98x = 12,992.15 × 5,435.85
  4. Step 4: Simplify right side
    9,414.98x = 70,623,351.40
  5. Step 5: Solve for x
    x = 70,623,351.40/9,414.98
  6. Step 6: Final answer
    x = 7,501.17

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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.