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Finding the Fourth Proportional to 9,899.88, 14,849.82 and 2,974.38

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Solution

The fourth proportional to 9,899.88, 14,849.82 and 2,974.38 is: 4,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.88 : 14,849.82 = 2,974.38 : x
  2. Step 2: Convert to fraction form
    9,899.88/14,849.82 = 2,974.38/x
  3. Step 3: Cross multiply
    9,899.88x = 14,849.82 × 2,974.38
  4. Step 4: Simplify right side
    9,899.88x = 44,169,007.61
  5. Step 5: Solve for x
    x = 44,169,007.61/9,899.88
  6. Step 6: Final answer
    x = 4,461.57

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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.