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Finding the Fourth Proportional to 9,137.86, 13,707.48 and 2,564.56

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Solution

The fourth proportional to 9,137.86, 13,707.48 and 2,564.56 is: 3,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.86 : 13,707.48 = 2,564.56 : x
  2. Step 2: Convert to fraction form
    9,137.86/13,707.48 = 2,564.56/x
  3. Step 3: Cross multiply
    9,137.86x = 13,707.48 × 2,564.56
  4. Step 4: Simplify right side
    9,137.86x = 35,153,667.23
  5. Step 5: Solve for x
    x = 35,153,667.23/9,137.86
  6. Step 6: Final answer
    x = 3,847.03

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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.