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Finding the Fourth Proportional to 9,709.80, 13,405.86 and 7,467.54

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Solution

The fourth proportional to 9,709.80, 13,405.86 and 7,467.54 is: 10,310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.80 : 13,405.86 = 7,467.54 : x
  2. Step 2: Convert to fraction form
    9,709.80/13,405.86 = 7,467.54/x
  3. Step 3: Cross multiply
    9,709.80x = 13,405.86 × 7,467.54
  4. Step 4: Simplify right side
    9,709.80x = 100,108,795.78
  5. Step 5: Solve for x
    x = 100,108,795.78/9,709.80
  6. Step 6: Final answer
    x = 10,310.08

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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.