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Finding the Fourth Proportional to 9,738.56, 13,410.90 and 8,461.84

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Solution

The fourth proportional to 9,738.56, 13,410.90 and 8,461.84 is: 11,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.56 : 13,410.90 = 8,461.84 : x
  2. Step 2: Convert to fraction form
    9,738.56/13,410.90 = 8,461.84/x
  3. Step 3: Cross multiply
    9,738.56x = 13,410.90 × 8,461.84
  4. Step 4: Simplify right side
    9,738.56x = 113,480,890.06
  5. Step 5: Solve for x
    x = 113,480,890.06/9,738.56
  6. Step 6: Final answer
    x = 11,652.74

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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.