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Finding the Fourth Proportional to 9,409.78, 14,109.63 and 3,167.72

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Solution

The fourth proportional to 9,409.78, 14,109.63 and 3,167.72 is: 4,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.78 : 14,109.63 = 3,167.72 : x
  2. Step 2: Convert to fraction form
    9,409.78/14,109.63 = 3,167.72/x
  3. Step 3: Cross multiply
    9,409.78x = 14,109.63 × 3,167.72
  4. Step 4: Simplify right side
    9,409.78x = 44,695,357.14
  5. Step 5: Solve for x
    x = 44,695,357.14/9,409.78
  6. Step 6: Final answer
    x = 4,749.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.