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Finding the Fourth Proportional to 9,984.74, 14,921.86 and 9,408.56

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Solution

The fourth proportional to 9,984.74, 14,921.86 and 9,408.56 is: 14,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.74 : 14,921.86 = 9,408.56 : x
  2. Step 2: Convert to fraction form
    9,984.74/14,921.86 = 9,408.56/x
  3. Step 3: Cross multiply
    9,984.74x = 14,921.86 × 9,408.56
  4. Step 4: Simplify right side
    9,984.74x = 140,393,215.12
  5. Step 5: Solve for x
    x = 140,393,215.12/9,984.74
  6. Step 6: Final answer
    x = 14,060.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.