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Finding the Fourth Proportional to 9,461.65, 13,057.35 and 5,212.98

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Solution

The fourth proportional to 9,461.65, 13,057.35 and 5,212.98 is: 7,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.65 : 13,057.35 = 5,212.98 : x
  2. Step 2: Convert to fraction form
    9,461.65/13,057.35 = 5,212.98/x
  3. Step 3: Cross multiply
    9,461.65x = 13,057.35 × 5,212.98
  4. Step 4: Simplify right side
    9,461.65x = 68,067,704.40
  5. Step 5: Solve for x
    x = 68,067,704.40/9,461.65
  6. Step 6: Final answer
    x = 7,194.06

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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.