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Finding the Fourth Proportional to 9,461.10, 13,054.32 and 5,481.98

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Solution

The fourth proportional to 9,461.10, 13,054.32 and 5,481.98 is: 7,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.10 : 13,054.32 = 5,481.98 : x
  2. Step 2: Convert to fraction form
    9,461.10/13,054.32 = 5,481.98/x
  3. Step 3: Cross multiply
    9,461.10x = 13,054.32 × 5,481.98
  4. Step 4: Simplify right side
    9,461.10x = 71,563,455.88
  5. Step 5: Solve for x
    x = 71,563,455.88/9,461.10
  6. Step 6: Final answer
    x = 7,563.97

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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.