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Finding the Fourth Proportional to 9,154.63, 12,629.81 and 5,971.67

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Solution

The fourth proportional to 9,154.63, 12,629.81 and 5,971.67 is: 8,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.63 : 12,629.81 = 5,971.67 : x
  2. Step 2: Convert to fraction form
    9,154.63/12,629.81 = 5,971.67/x
  3. Step 3: Cross multiply
    9,154.63x = 12,629.81 × 5,971.67
  4. Step 4: Simplify right side
    9,154.63x = 75,421,009.26
  5. Step 5: Solve for x
    x = 75,421,009.26/9,154.63
  6. Step 6: Final answer
    x = 8,238.57

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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.