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Finding the Fourth Proportional to 9,467.48, 13,054.34 and 7,760.63

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Solution

The fourth proportional to 9,467.48, 13,054.34 and 7,760.63 is: 10,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.48 : 13,054.34 = 7,760.63 : x
  2. Step 2: Convert to fraction form
    9,467.48/13,054.34 = 7,760.63/x
  3. Step 3: Cross multiply
    9,467.48x = 13,054.34 × 7,760.63
  4. Step 4: Simplify right side
    9,467.48x = 101,309,856.76
  5. Step 5: Solve for x
    x = 101,309,856.76/9,467.48
  6. Step 6: Final answer
    x = 10,700.83

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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.