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Finding the Fourth Proportional to 9,899.56, 14,849.22 and 2,974

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Solution

The fourth proportional to 9,899.56, 14,849.22 and 2,974 is: 4,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.56 : 14,849.22 = 2,974 : x
  2. Step 2: Convert to fraction form
    9,899.56/14,849.22 = 2,974/x
  3. Step 3: Cross multiply
    9,899.56x = 14,849.22 × 2,974
  4. Step 4: Simplify right side
    9,899.56x = 44,161,580.28
  5. Step 5: Solve for x
    x = 44,161,580.28/9,899.56
  6. Step 6: Final answer
    x = 4,460.96

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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.